Long Division with Multi-Digit Divisors — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Estimating 612 ÷ 29 with 600 ÷ 30 gives an estimate of 20.
Compatible numbers turn Grade 5 estimation into easy basic facts.
2. Estimating 1843 ÷ 19 with 1800 ÷ 20 gives an estimate of about 90.
Rounding both values gives a quick Grade 5 quotient estimate.
3. Estimating 4720 ÷ 58 with 4800 ÷ 60 gives an estimate of about 80.
Grade 5 estimation often rounds the dividend up to keep numbers compatible.
4. Estimating 287 ÷ 33 with 300 ÷ 30 gives an estimate of about 10.
Grade 5 students round the divisor to a friendly multiple of ten.
5. Estimating 5612 ÷ 71 with 5600 ÷ 70 gives an estimate of about 80.
Friendly compatible numbers give reasonable Grade 5 estimates.
6. Estimating 3150 ÷ 48 with 3200 ÷ 40 gives an estimate of about 80.
Rounding 48 down to 40 simplifies Grade 5 mental math.
7. Estimating 989 ÷ 22 with 1000 ÷ 20 gives an estimate of about 50.
Grade 5 students often round the dividend up for cleaner estimates.
8. Estimating 7350 ÷ 84 with 7200 ÷ 80 gives an estimate of about 90.
Selecting the closer compatible product helps Grade 5 estimates land near the true quotient.
9. Estimating 4080 ÷ 39 with 4000 ÷ 40 gives an estimate of about 100.
Rounding 39 up to 40 produces an easy Grade 5 estimate.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
812 ÷ 19 (estimate)
→ 40
40
2456 ÷ 47 (estimate)
→ 50
50
3675 ÷ 58 (estimate)
→ 60
60
5894 ÷ 71 (estimate)
→ 80
80
Grade 5 estimation pairs each problem with the closest compatible-number quotient.