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What is the quotient and remainder when $ 3625 $ is divided by $ 457 $ ?
Answer
The quotient is 7 and the remainder is 426.
Explanation
Division Table
|
| | | 0 | 0 | 0 | 7 |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 2 | |
| | | | – | 0 | |
| | | 3 | 6 | 2 | 5 |
| | – | 3 | 1 | 9 | 9 |
| | | | 4 | 2 | 6 |
STEP 0: set up a division table
|
| | | | | | |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
STEP 1: DIVIDE 3 : 457 = 0 with a remainder of 3
|
| | | 0 | | | |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
STEP 2: MULTIPLY 0 · 457 = 0
|
| | | 0 | | | |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | | 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| | | 0 | | | |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
STEP 5: DIVIDE 36 : 457 = 0 with a remainder of 36
|
| | | 0 | 0 | | |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
STEP 6: MULTIPLY 0 · 457 = 0
|
| | | 0 | 0 | | |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 36 - 0 = 36
|
| | | 0 | 0 | | |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 2 | |
STEP 9: DIVIDE 362 : 457 = 0 with a remainder of 362
|
| | | 0 | 0 | 0 | |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 2 | |
STEP 10: MULTIPLY 0 · 457 = 0
|
| | | 0 | 0 | 0 | |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 2 | |
| | | | | 0 | |
STEP 11: SUBTRACT 362 - 0 = 362
|
| | | 0 | 0 | 0 | |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 2 | |
| | | | – | 0 | |
| | | 3 | 6 | 2 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 0 | |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 2 | |
| | | | – | 0 | |
| | | 3 | 6 | 2 | 5 |
STEP 13: DIVIDE 3625 : 457 = 7 with a remainder of 426
|
| | | 0 | 0 | 0 | 7 |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 2 | |
| | | | – | 0 | |
| | | 3 | 6 | 2 | 5 |
STEP 14: MULTIPLY 7 · 457 = 3199
|
| | | 0 | 0 | 0 | 7 |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 2 | |
| | | | – | 0 | |
| | | 3 | 6 | 2 | 5 |
| | | 3 | 1 | 9 | 9 |
STEP 15: SUBTRACT 3625 - 3199 = 426
|
| | | 0 | 0 | 0 | 7 |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 2 | |
| | | | – | 0 | |
| | | 3 | 6 | 2 | 5 |
| | – | 3 | 1 | 9 | 9 |
| | | | 4 | 2 | 6 |
STEP 15: SUBTRACT 3625 - 3199 = 426
|
| | | 0 | 0 | 0 | 7 |
4 | 5 | 7 | 3 | 6 | 2 | 5 |
| | – | 0 | | | |
| | | 3 | 6 | | |
| | | – | 0 | | |
| | | 3 | 6 | 2 | |
| | | | – | 0 | |
| | | 3 | 6 | 2 | 5 |
| | – | 3 | 1 | 9 | 9 |
| | | | 4 | 2 | 6 |
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