Solved on Jan 26, 2024

Divide 15,050 by 20 using long division method. Simplify the result to the nearest integer.
\begin{array}{r} \phantom{0}752\phantom{.0}\\ 20 \overline{) 15,050}\\ \phantom{0}15\phantom{000}\\ \cline{1-2} \phantom{0}0\phantom{00}\\ \phantom{000}5\phantom{00}\\ \phantom{000}0\phantom{00}\\ \cline{2-3} \phantom{0000}50\phantom{0}\\ \phantom{0000}40\phantom{0}\\ \cline{3-4} \phantom{00000}10\phantom{0}\\ \phantom{00000}0\phantom{0}\\ \cline{4-5} \phantom{000000}50\\ \phantom{000000}50\\ \cline{5-6} \phantom{0000000}0\\ \end{array}

STEP 1

Assumptions
1. We are performing long division.
2. The dividend is $15,050$ .
3. The divisor is $20$ .
4. We need to find the quotient of the division.

STEP 2

Set up the long division by writing the divisor ( $20$ ) outside the division bar and the dividend ( $15,050$ ) under the division bar.

STEP 3

Determine how many times the divisor ( $20$ ) can fit into the first two digits of the dividend ( $15$ ) without exceeding it.
$20 \times ? \leq 15$

STEP 4

Since $20$ cannot fit into $15$ , we consider the first three digits of the dividend ( $150$ ).
$20 \times ? \leq 150$

STEP 5

Find the largest whole number that, when multiplied by $20$ , does not exceed $150$ .
$20 \times 7 = 140$ $20 \times 8 = 160$
Since $160$ exceeds $150$ , we use $7$ .

STEP 6

Write the number $7$ above the division bar, aligned with the third digit of the dividend ( $150$ ).

STEP 7

Multiply the divisor ( $20$ ) by $7$ and write the result ( $140$ ) under the first three digits of the dividend ( $150$ ).

STEP 8

Subtract $140$ from $150$ to find the remainder.
$150 - 140 = 10$

STEP 9

Bring down the next digit of the dividend ( $0$ ) to the right of the remainder ( $10$ ) to form the number $100$ .

STEP 10

Determine how many times the divisor ( $20$ ) can fit into $100$ without exceeding it.
$20 \times ? \leq 100$

STEP 11

Find the largest whole number that, when multiplied by $20$ , does not exceed $100$ .
$20 \times 5 = 100$

STEP 12

Write the number $5$ above the division bar, aligned with the digit you just brought down ( $0$ ).

STEP 13

Multiply the divisor ( $20$ ) by $5$ and write the result ( $100$ ) under the number $100$ .

STEP 14

Subtract $100$ from $100$ to find the remainder.
$100 - 100 = 0$

STEP 15

Since there are no more digits to bring down and the remainder is $0$ , the division is complete.

STEP 16

Combine the numbers above the division bar to find the quotient.
The quotient of the division is $75$ .
Karan needs to pay $75$ each month.

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STEP 1

Assumptions
1. We are performing long division.
2. The dividend is $15,050$ .
3. The divisor is $20$ .
4. We need to find the quotient of the division.

STEP 2

Set up the long division by writing the divisor ( $20$ ) outside the division bar and the dividend ( $15,050$ ) under the division bar.

STEP 3

Determine how many times the divisor ( $20$ ) can fit into the first two digits of the dividend ( $15$ ) without exceeding it.
$20 \times ? \leq 15$

STEP 4

Since $20$ cannot fit into $15$ , we consider the first three digits of the dividend ( $150$ ).
$20 \times ? \leq 150$

STEP 5

Find the largest whole number that, when multiplied by $20$ , does not exceed $150$ .
$20 \times 7 = 140$ $20 \times 8 = 160$
Since $160$ exceeds $150$ , we use $7$ .

STEP 6

Write the number $7$ above the division bar, aligned with the third digit of the dividend ( $150$ ).

STEP 7

Multiply the divisor ( $20$ ) by $7$ and write the result ( $140$ ) under the first three digits of the dividend ( $150$ ).

STEP 8

Subtract $140$ from $150$ to find the remainder.
$150 - 140 = 10$

STEP 9

Bring down the next digit of the dividend ( $0$ ) to the right of the remainder ( $10$ ) to form the number $100$ .

STEP 10

Determine how many times the divisor ( $20$ ) can fit into $100$ without exceeding it.
$20 \times ? \leq 100$

STEP 11

Find the largest whole number that, when multiplied by $20$ , does not exceed $100$ .
$20 \times 5 = 100$

STEP 12

Write the number $5$ above the division bar, aligned with the digit you just brought down ( $0$ ).

STEP 13

Multiply the divisor ( $20$ ) by $5$ and write the result ( $100$ ) under the number $100$ .

STEP 14

Subtract $100$ from $100$ to find the remainder.
$100 - 100 = 0$

STEP 15

Since there are no more digits to bring down and the remainder is $0$ , the division is complete.

STEP 16

Combine the numbers above the division bar to find the quotient.
The quotient of the division is $75$ .
Karan needs to pay $75$ each month.

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STEP 1

Assumptions1. We are performing long division.2. The dividend is 15,05015,05015,050.3. The divisor is 202020.4. We need to find the quotient of the division.

STEP 2

Set up the long division by writing the divisor (202020) outside the division bar and the dividend (15,05015,05015,050) under the division bar.

STEP 3

Determine how many times the divisor (202020) can fit into the first two digits of the dividend (151515) without exceeding it.20×?≤1520 \times ? \leq 1520×?≤15

STEP 4

Since 202020 cannot fit into 151515, we consider the first three digits of the dividend (150150150).20×?≤15020 \times ? \leq 15020×?≤150

STEP 5

Find the largest whole number that, when multiplied by 202020, does not exceed 150150150.20×7=14020 \times 7 = 14020×7=140 20×8=16020 \times 8 = 16020×8=160Since 160160160 exceeds 150150150, we use 777.

STEP 6

Write the number 777 above the division bar, aligned with the third digit of the dividend (150150150).

STEP 7

Multiply the divisor (202020) by 777 and write the result (140140140) under the first three digits of the dividend (150150150).

STEP 8

Subtract 140140140 from 150150150 to find the remainder.150−140=10150 - 140 = 10150−140=10

STEP 9

Bring down the next digit of the dividend (000) to the right of the remainder (101010) to form the number 100100100.

STEP 10

Determine how many times the divisor (202020) can fit into 100100100 without exceeding it.20×?≤10020 \times ? \leq 10020×?≤100

STEP 11

Find the largest whole number that, when multiplied by 202020, does not exceed 100100100.20×5=10020 \times 5 = 10020×5=100

STEP 12

Write the number 555 above the division bar, aligned with the digit you just brought down (000).

STEP 13

Multiply the divisor (202020) by 555 and write the result (100100100) under the number 100100100.

STEP 14

Subtract 100100100 from 100100100 to find the remainder.100−100=0100 - 100 = 0100−100=0

STEP 15

Since there are no more digits to bring down and the remainder is 000, the division is complete.

STEP 16

Combine the numbers above the division bar to find the quotient.The quotient of the division is 757575.Karan needs to pay 757575 each month.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Assumptions
1. We are performing long division.
2. The dividend is $15,050$ .
3. The divisor is $20$ .
4. We need to find the quotient of the division.

Set up the long division by writing the divisor ( $20$ ) outside the division bar and the dividend ( $15,050$ ) under the division bar.

Determine how many times the divisor ( $20$ ) can fit into the first two digits of the dividend ( $15$ ) without exceeding it.
$20 \times ? \leq 15$

Since $20$ cannot fit into $15$ , we consider the first three digits of the dividend ( $150$ ).
$20 \times ? \leq 150$

Find the largest whole number that, when multiplied by $20$ , does not exceed $150$ .
$20 \times 7 = 140$ $20 \times 8 = 160$
Since $160$ exceeds $150$ , we use $7$ .

Write the number $7$ above the division bar, aligned with the third digit of the dividend ( $150$ ).

Multiply the divisor ( $20$ ) by $7$ and write the result ( $140$ ) under the first three digits of the dividend ( $150$ ).

Subtract $140$ from $150$ to find the remainder.
$150 - 140 = 10$

Bring down the next digit of the dividend ( $0$ ) to the right of the remainder ( $10$ ) to form the number $100$ .

Determine how many times the divisor ( $20$ ) can fit into $100$ without exceeding it.
$20 \times ? \leq 100$

Find the largest whole number that, when multiplied by $20$ , does not exceed $100$ .
$20 \times 5 = 100$

Write the number $5$ above the division bar, aligned with the digit you just brought down ( $0$ ).

Multiply the divisor ( $20$ ) by $5$ and write the result ( $100$ ) under the number $100$ .

Subtract $100$ from $100$ to find the remainder.
$100 - 100 = 0$

Since there are no more digits to bring down and the remainder is $0$ , the division is complete.

Combine the numbers above the division bar to find the quotient.
The quotient of the division is $75$ .
Karan needs to pay $75$ each month.