When dividing 156 ÷ 4 using long division, you divide 15 by 4 and get 3 with remainder 3. What is the correct next step?
AWrite 3 as the final remainder and stop
BBring down the 6 to make 36, then divide 36 ÷ 4
CStart the problem over with a different estimate
DDivide 3 ÷ 4 and record 0 in the quotient
After dividing and subtracting at the tens place, you bring down the next digit (6) to join the remainder (3), forming 36. Then ask how many times 4 goes into 36 (9 times). This is the 'bring down' step in the divide–multiply–subtract–bring down cycle.
Question 2 True / False
A remainder can be larger than the divisor.
TTrue
FFalse
Answer: False
If the remainder is larger than the divisor, the quotient digit is too small — at least one more group could have been taken out. The remainder must always be less than the divisor; this is the check that confirms the quotient digit is correct.
Question 3 Short Answer
How can you verify that your long division answer is correct?
Think about your answer, then reveal below.
Model answer: Multiply the quotient by the divisor, then add the remainder. The result should equal the original dividend.
Division and multiplication are inverse operations. If 156 ÷ 4 = 39 with no remainder, then 39 × 4 must equal 156. With a remainder r, the check is: quotient × divisor + remainder = dividend. This catches both quotient errors and arithmetic slips.