Math / Numbers & Operations

Question4 5 \longdiv { 5 5 2 . 1 5 }

Studdy Solution

STEP 1

1. We are performing long division to divide $552.15$ by $45$ .
2. The dividend is $552.15$ and the divisor is $45$ .
3. We will find the quotient by dividing step by step.

STEP 2

1. Set up the division problem.
2. Perform the division for the whole number part.
3. Perform the division for the decimal part.
4. Combine the results.

STEP 3

Set up the division problem with $552.15$ as the dividend and $45$ as the divisor. Write it in long division format.

STEP 4

Determine how many times $45$ fits into the first part of the dividend, starting from the left. Begin with $552$ .

STEP 5

Calculate how many times $45$ goes into $552$ .
$45 \times 12 = 540$
Since $45 \times 12 = 540$ is the largest multiple less than $552$ , write $12$ above the division bar.

STEP 6

Subtract $540$ from $552$ to find the remainder.
$552 - 540 = 12$
Bring down the next digit, which is $1$ , making it $121$ .

STEP 7

Determine how many times $45$ fits into $121$ .

STEP 8

Calculate how many times $45$ goes into $121$ .
$45 \times 2 = 90$
Since $45 \times 2 = 90$ is the largest multiple less than $121$ , write $2$ above the division bar.

STEP 9

Subtract $90$ from $121$ to find the remainder.
$121 - 90 = 31$
Bring down the next digit, which is $5$ , making it $315$ .

STEP 10

Determine how many times $45$ fits into $315$ .

STEP 11

Calculate how many times $45$ goes into $315$ .
$45 \times 7 = 315$
Since $45 \times 7 = 315$ , write $7$ above the division bar.

STEP 12

Subtract $315$ from $315$ to find the remainder.
$315 - 315 = 0$
Since there is no remainder, the division is complete.
The quotient of $552.15 \div 45$ is:
$\boxed{12.27}$

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