Question 1

What are the parts of a division problem?

Accepted Answer

The dividend is the number being divided. The divisor is the number you divide by. The quotient is the answer. The remainder is what is left over. For 17 / 5: dividend = 17, divisor = 5, quotient = 3, remainder = 2.

Question 2

How do I check my division answer?

Accepted Answer

Multiply the quotient by the divisor and add the remainder. The result should equal the dividend. For example: 3 x 5 + 2 = 17, confirming that 17 / 5 = 3 remainder 2.

Question 3

What if the divisor is larger than the dividend?

Accepted Answer

The quotient will be 0 with the entire dividend as the remainder (in integer division), or a decimal less than 1. For example, 3 / 7 = 0 remainder 3, or 0.4286 in decimal.

Detail	Value
Dividend	1234
Divisor	7
Integer Quotient	176
Remainder	2
Decimal Result	176.2857
Mixed Number	176 2/7
Verification	176 x 7 + 2 = 1234

Step	Work
Step 1	7 goes into 12 → 1 time (1 x 7 = 7)
Remainder	5
Step 2	7 goes into 53 → 7 times (7 x 7 = 49)
Remainder	4
Step 3	7 goes into 44 → 6 times (6 x 7 = 42)
Remainder	2

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