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What is the quotient and remainder when $ 4028 $ is divided by $ 46 $ ?
Answer
The quotient is 87 and the remainder is 26.
Explanation
Division Table
|
| | 0 | 0 | 8 | 7 |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
| | – | 0 | | |
| | 4 | 0 | 2 | |
| – | 3 | 6 | 8 | |
| | | 3 | 4 | 8 |
| | – | 3 | 2 | 2 |
| | | | 2 | 6 |
STEP 0: set up a division table
|
| | | | | |
4 | 6 | 4 | 0 | 2 | 8 |
STEP 1: DIVIDE 4 : 46 = 0 with a remainder of 4
|
| | 0 | | | |
4 | 6 | 4 | 0 | 2 | 8 |
STEP 2: MULTIPLY 0 · 46 = 0
|
| | 0 | | | |
4 | 6 | 4 | 0 | 2 | 8 |
| | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | | |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
STEP 5: DIVIDE 40 : 46 = 0 with a remainder of 40
|
| | 0 | 0 | | |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
STEP 6: MULTIPLY 0 · 46 = 0
|
| | 0 | 0 | | |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
| | | 0 | | |
STEP 7: SUBTRACT 40 - 0 = 40
|
| | 0 | 0 | | |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
| | – | 0 | | |
| | 4 | 0 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
| | – | 0 | | |
| | 4 | 0 | 2 | |
STEP 9: DIVIDE 402 : 46 = 8 with a remainder of 34
|
| | 0 | 0 | 8 | |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
| | – | 0 | | |
| | 4 | 0 | 2 | |
STEP 10: MULTIPLY 8 · 46 = 368
|
| | 0 | 0 | 8 | |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
| | – | 0 | | |
| | 4 | 0 | 2 | |
| | 3 | 6 | 8 | |
STEP 11: SUBTRACT 402 - 368 = 34
|
| | 0 | 0 | 8 | |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
| | – | 0 | | |
| | 4 | 0 | 2 | |
| – | 3 | 6 | 8 | |
| | | 3 | 4 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 8 | |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
| | – | 0 | | |
| | 4 | 0 | 2 | |
| – | 3 | 6 | 8 | |
| | | 3 | 4 | 8 |
STEP 13: DIVIDE 348 : 46 = 7 with a remainder of 26
|
| | 0 | 0 | 8 | 7 |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
| | – | 0 | | |
| | 4 | 0 | 2 | |
| – | 3 | 6 | 8 | |
| | | 3 | 4 | 8 |
STEP 14: MULTIPLY 7 · 46 = 322
|
| | 0 | 0 | 8 | 7 |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
| | – | 0 | | |
| | 4 | 0 | 2 | |
| – | 3 | 6 | 8 | |
| | | 3 | 4 | 8 |
| | | 3 | 2 | 2 |
STEP 15: SUBTRACT 348 - 322 = 26
|
| | 0 | 0 | 8 | 7 |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
| | – | 0 | | |
| | 4 | 0 | 2 | |
| – | 3 | 6 | 8 | |
| | | 3 | 4 | 8 |
| | – | 3 | 2 | 2 |
| | | | 2 | 6 |
STEP 15: SUBTRACT 348 - 322 = 26
|
| | 0 | 0 | 8 | 7 |
4 | 6 | 4 | 0 | 2 | 8 |
| – | 0 | | | |
| | 4 | 0 | | |
| | – | 0 | | |
| | 4 | 0 | 2 | |
| – | 3 | 6 | 8 | |
| | | 3 | 4 | 8 |
| | – | 3 | 2 | 2 |
| | | | 2 | 6 |
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