Math  /  Numbers & Operations

Question476÷28=476 \div 28=

Studdy Solution

STEP 1

1. We are performing a division operation.
2. The dividend is 476 476 .
3. The divisor is 28 28 .
4. We are looking for the quotient of this division.

STEP 2

1. Set up the division problem.
2. Perform the division to find the quotient.
3. Verify the result.

STEP 3

Set up the division problem by writing it in long division format:
476÷28476 \div 28

STEP 4

Determine how many times 28 28 can fit into the first few digits of 476 476 . Start with the first two digits, 47 47 .
- 28 28 fits into 47 47 once. Write 1 1 as the first digit of the quotient.

STEP 5

Multiply 28 28 by 1 1 and subtract from 47 47 :
4728=1947 - 28 = 19
Bring down the next digit, 6 6 , to make 196 196 .

STEP 6

Determine how many times 28 28 fits into 196 196 .
- 28×7=196 28 \times 7 = 196 , so 28 28 fits exactly 7 7 times.
Write 7 7 as the next digit of the quotient.

STEP 7

Subtract 196 196 from 196 196 :
196196=0196 - 196 = 0
There is no remainder.

STEP 8

Verify the result by multiplying the quotient by the divisor to ensure it equals the dividend:
28×17=47628 \times 17 = 476
The multiplication confirms that the division was performed correctly.
The quotient of 476÷28 476 \div 28 is:
17\boxed{17}

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