Math / Numbers & Operations

Question31634 30 10 654 30 10 634 -30 lo 694 -130

Studdy Solution

STEP 1

1. We are performing long division to divide $31634$ by $654$ .
2. The goal is to find the quotient and remainder of the division.
3. The division process involves subtracting multiples of the divisor from sections of the dividend.

STEP 2

1. Set up the division problem.
2. Perform the division step by step.
3. Calculate the quotient and remainder.

STEP 3

Set up the division problem by writing $31634$ under the long division symbol and $654$ outside.

STEP 4

Determine how many times $654$ can fit into the first few digits of $31634$ . Start with the first three digits $316$ .

STEP 5

Since $654$ cannot fit into $316$ , consider the first four digits $3163$ .

STEP 6

Estimate how many times $654$ fits into $3163$ . It fits approximately $4$ times because $654 \times 4 = 2616$ .

STEP 7

Write $4$ above the division bar as part of the quotient. Subtract $2616$ from $3163$ .
$3163 - 2616 = 547$

STEP 8

Bring down the next digit from the dividend, making it $5474$ .

STEP 9

Determine how many times $654$ fits into $5474$ . It fits approximately $8$ times because $654 \times 8 = 5232$ .

STEP 10

Write $8$ above the division bar as part of the quotient. Subtract $5232$ from $5474$ .
$5474 - 5232 = 242$

STEP 11

Since there are no more digits to bring down, the division process is complete.

STEP 12

The quotient of the division is $48$ and the remainder is $242$ .
The result of dividing $31634$ by $654$ is:
Quotient: $48$ Remainder: $242$

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