6-Digit by 2-Digit Long Division with Grid Assistance and Prompts ... - Free Printable

Let’s solve each long division problem step by step. We’ll go one at a time, carefully checking our work.

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Problem 1: 313582 ÷ 17

We divide 313582 by 17 using the grid.

Step-by-step:

- 17 into 31 → 1 (since 17×1=17), subtract: 31 - 17 = 14
- Bring down 3 → 143
- 17 into 143 → 8 (17×8=136), subtract: 143 - 136 = 7
- Bring down 5 → 75
- 17 into 75 → 4 (17×4=68), subtract: 75 - 68 = 7
- Bring down 8 → 78
- 17 into 78 → 4 (17×4=68), subtract: 78 - 68 = 10
- Bring down 2 → 102
- 17 into 102 → 6 (17×6=102), subtract: 102 - 102 = 0

Quotient: 18446

Check: 17 × 18446 = ?

17 × 18000 = 306000
17 × 446 = let’s compute:
17 × 400 = 6800
17 × 40 = 680
17 × 6 = 102
Total: 6800 + 680 = 7480 + 102 = 7582
Now total: 306000 + 7582 = 313582 ✔

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Problem 2: 888336 ÷ 62

Divide 888336 by 62.

- 62 into 88 → 1 (62×1=62), subtract: 88 - 62 = 26
- Bring down 8 → 268
- 62 into 268 → 4 (62×4=248), subtract: 268 - 248 = 20
- Bring down 3 → 203
- 62 into 203 → 3 (62×3=186), subtract: 203 - 186 = 17
- Bring down 3 → 173
- 62 into 173 → 2 (62×2=124), subtract: 173 - 124 = 49
- Bring down 6 → 496
- 62 into 496 → 8 (62×8=496), subtract: 0

Quotient: 14328

Check: 62 × 14328

Break it down:

62 × 14000 = 868000
62 × 328 = ?

62 × 300 = 18600
62 × 28 = 62×20=1240 + 62×8=496 → 1240+496=1736
So 18600 + 1736 = 20336
Total: 868000 + 20336 = 888336 ✔

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Problem 3: 664152 ÷ 12

Divide 664152 by 12.

- 12 into 66 → 5 (12×5=60), subtract: 66 - 60 = 6
- Bring down 4 → 64
- 12 into 64 → 5 (12×5=60), subtract: 64 - 60 = 4
- Bring down 1 → 41
- 12 into 41 → 3 (12×3=36), subtract: 41 - 36 = 5
- Bring down 5 → 55
- 12 into 55 → 4 (12×4=48), subtract: 55 - 48 = 7
- Bring down 2 → 72
- 12 into 72 → 6 (12×6=72), subtract: 0

Quotient: 55346

Check: 12 × 55346

12 × 55000 = 660000
12 × 346 = 12×300=3600, 12×46=552 → 3600+552=4152
Total: 660000 + 4152 = 664152 ✔

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Problem 4: 462078 ÷ 27

Divide 462078 by 27.

- 27 into 46 → 1 (27×1=27), subtract: 46 - 27 = 19
- Bring down 2 → 192
- 27 into 192 → 7 (27×7=189), subtract: 192 - 189 = 3
- Bring down 0 → 30
- 27 into 30 → 1 (27×1=27), subtract: 30 - 27 = 3
- Bring down 7 → 37
- 27 into 37 → 1 (27×1=27), subtract: 37 - 27 = 10
- Bring down 8 → 108
- 27 into 108 → 4 (27×4=108), subtract: 0

Quotient: 17114

Check: 27 × 17114

27 × 17000 = 459000
27 × 114 = 27×100=2700, 27×14=378 → 2700+378=3078
Total: 459000 + 3078 = 462078 ✔

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Problem 5: 654189 ÷ 57

Divide 654189 by 57.

- 57 into 65 → 1 (57×1=57), subtract: 65 - 57 = 8
- Bring down 4 → 84
- 57 into 84 → 1 (57×1=57), subtract: 84 - 57 = 27
- Bring down 1 → 271
- 57 into 271 → 4 (57×4=228), subtract: 271 - 228 = 43
- Bring down 8 → 438
- 57 into 438 → 7 (57×7=399), subtract: 438 - 399 = 39
- Bring down 9 → 399
- 57 into 399 → 7 (57×7=399), subtract: 0

Quotient: 11477

Check: 57 × 11477

57 × 11000 = 627000
57 × 477 = ?

57 × 400 = 22800
57 × 77 = 57×70=3990, 57×7=399 → 3990+399=4389
So 22800 + 4389 = 27189
Total: 627000 + 27189 = 654189 ✔

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Problem 6: 303680 ÷ 26

Divide 303680 by 26.

- 26 into 30 → 1 (26×1=26), subtract: 30 - 26 = 4
- Bring down 3 → 43
- 26 into 43 → 1 (26×1=26), subtract: 43 - 26 = 17
- Bring down 6 → 176
- 26 into 176 → 6 (26×6=156), subtract: 176 - 156 = 20
- Bring down 8 → 208
- 26 into 208 → 8 (26×8=208), subtract: 0
- Bring down 0 → 0
- 26 into 0 → 0

Quotient: 11680

Check: 26 × 11680

26 × 11000 = 286000
26 × 680 = 26×600=15600, 26×80=2080 → 15600+2080=17680
Total: 286000 + 17680 = 303680 ✔

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Final Answer:
18446, 14328, 55346, 17114, 11477, 11680