Math  /  Numbers & Operations

Question5 \longdiv { 9 5 }

Studdy Solution

STEP 1

1. We are performing long division to divide 95 95 by 5 5 .
2. The division will result in a quotient and possibly a remainder.

STEP 2

1. Set up the division problem.
2. Divide the first digit.
3. Divide the next digit.
4. Write the final quotient and remainder.

STEP 3

Set up the division problem by placing 95 95 under the long division symbol and 5 5 outside.
5 \, \longdiv{95}

STEP 4

Divide the first digit of 95 95 by 5 5 . The first digit is 9 9 .
- Determine how many times 5 5 goes into 9 9 . It goes 1 1 time. - Write 1 1 above the division bar.

STEP 5

Multiply 1 1 by 5 5 and write the result (5 5 ) below the 9 9 .
15955\begin{array}{c|c} 1 & \\ \hline 5 & 95 \\ -5 & \\ \end{array}
Subtract 5 5 from 9 9 to get 4 4 .

STEP 6

Bring down the next digit, which is 5 5 , making the number 45 45 .
- Determine how many times 5 5 goes into 45 45 . It goes 9 9 times. - Write 9 9 above the division bar next to the 1 1 .

STEP 7

Multiply 9 9 by 5 5 and write the result (45 45 ) below the 45 45 .
1959554545\begin{array}{c|c} 19 & \\ \hline 5 & 95 \\ -5 & \\ \hline 45 & \\ -45 & \\ \end{array}
Subtract 45 45 from 45 45 to get 0 0 .

STEP 8

Since there is no remainder, the final quotient is 19 19 .
The solution to the division problem is:
19\boxed{19}

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