To solve these decimal division problems, we need to divide each number by the divisor. Let’s go step by step for each problem:
---
Problem 1: 30.58 ÷ 5.2
Step 1: Move the decimal in the divisor (5.2) one place to the right to make it a whole number → 52.
Step 2: Do the same to the dividend (30.58) → 305.8
Step 3: Now divide 305.8 by 52.
52 × 5 = 260
305.8 - 260 = 45.8
Bring down 0 → 458
52 × 8 = 416
458 - 416 = 42
Bring down 0 → 420
52 × 8 = 416
420 - 416 = 4 → so approximately 5.88
✔ Final Answer for #1:
5.88
---
Problem 2: 145.13 ÷ 7.5
Step 1: Multiply both by 10 → 1451.3 ÷ 75
75 × 19 = 1425
1451.3 - 1425 = 26.3
Bring down 0 → 263
75 × 3 = 225
263 - 225 = 38 → so 19.35...
✔ Final Answer for #2:
19.35
---
Problem 3: 288.09 ÷ 68
68 × 4 = 272
288.09 - 272 = 16.09
Bring down 0 → 160.9
68 × 2 = 136
160.9 - 136 = 24.9
Bring down 0 → 249
68 × 3 = 204
249 - 204 = 45 → so 4.23...
✔ Final Answer for #3:
4.24 (rounded)
---
Problem 4: 581.30 ÷ 100
Dividing by 100 moves decimal two places left → 5.813
✔ Final Answer for #4:
5.813
---
Problem 5: 281.30 ÷ 3
3 × 93 = 279
281.30 - 279 = 2.30
3 × 0.7 = 2.1 → remainder 0.2 → 0.066...
So 93 + 0.766... ≈ 93.77
✔ Final Answer for #5:
93.77
---
Problem 6: 1889.37 ÷ 66.8
Multiply both by 10 → 18893.7 ÷ 668
668 × 28 = 18704
18893.7 - 18704 = 189.7
668 × 0.28 ≈ 187.04 → close enough
So 28 + 0.28 = 28.28
✔ Final Answer for #6:
28.28
---
Problem 7: 58.34 ÷ 8.03
Multiply both by 100 → 5834 ÷ 803
803 × 7 = 5621
5834 - 5621 = 213
803 × 0.26 ≈ 208.78 → close
So 7.26
✔ Final Answer for #7:
7.26
---
Problem 8: 9.204 ÷ 3.9
Multiply both by 10 → 92.04 ÷ 39
39 × 2 = 78
92.04 - 78 = 14.04
39 × 0.36 = 14.04 → perfect!
So 2 + 0.36 = 2.36
✔ Final Answer for #8:
2.36
---
Problem 9: 2867.18 ÷ 1000
Divide by 1000 → move decimal 3 places left → 2.86718
✔ Final Answer for #9:
2.86718
---
Final Answer:
1. 5.88
2. 19.35
3. 4.24
4. 5.813
5. 93.77
6. 28.28
7. 7.26
8. 2.36
9. 2.86718
Parent Tip: Review the logic above to help your child master the concept of decimal long division worksheet.
