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What is the quotient and remainder when $ 453901 $ is divided by $ 49 $ ?
Answer
The quotient is 9263 and the remainder is 14.
Explanation
Division Table
|
| | 0 | 0 | 9 | 2 | 6 | 3 |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
| | | – | 9 | 8 | | |
| | | | 3 | 1 | 0 | |
| | | – | 2 | 9 | 4 | |
| | | | | 1 | 6 | 1 |
| | | | – | 1 | 4 | 7 |
| | | | | | 1 | 4 |
STEP 0: set up a division table
|
| | | | | | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
STEP 1: DIVIDE 4 : 49 = 0 with a remainder of 4
|
| | 0 | | | | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
STEP 2: MULTIPLY 0 · 49 = 0
|
| | 0 | | | | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| | 0 | | | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | | | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | | | | | |
STEP 4: BRING DOWN
|
| | 0 | | | | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
STEP 5: DIVIDE 45 : 49 = 0 with a remainder of 45
|
| | 0 | 0 | | | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
STEP 6: MULTIPLY 0 · 49 = 0
|
| | 0 | 0 | | | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | | 0 | | | | |
STEP 7: SUBTRACT 45 - 0 = 45
|
| | 0 | 0 | | | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | | | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
STEP 9: DIVIDE 453 : 49 = 9 with a remainder of 12
|
| | 0 | 0 | 9 | | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
STEP 10: MULTIPLY 9 · 49 = 441
|
| | 0 | 0 | 9 | | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| | 4 | 4 | 1 | | | |
STEP 11: SUBTRACT 453 - 441 = 12
|
| | 0 | 0 | 9 | | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | | | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 9 | | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
STEP 13: DIVIDE 129 : 49 = 2 with a remainder of 31
|
| | 0 | 0 | 9 | 2 | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
STEP 14: MULTIPLY 2 · 49 = 98
|
| | 0 | 0 | 9 | 2 | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
| | | | 9 | 8 | | |
STEP 15: SUBTRACT 129 - 98 = 31
|
| | 0 | 0 | 9 | 2 | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
| | | – | 9 | 8 | | |
| | | | 3 | 1 | | |
STEP 16: BRING DOWN
|
| | 0 | 0 | 9 | 2 | | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
| | | – | 9 | 8 | | |
| | | | 3 | 1 | 0 | |
STEP 17: DIVIDE 310 : 49 = 6 with a remainder of 16
|
| | 0 | 0 | 9 | 2 | 6 | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
| | | – | 9 | 8 | | |
| | | | 3 | 1 | 0 | |
STEP 18: MULTIPLY 6 · 49 = 294
|
| | 0 | 0 | 9 | 2 | 6 | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
| | | – | 9 | 8 | | |
| | | | 3 | 1 | 0 | |
| | | | 2 | 9 | 4 | |
STEP 19: SUBTRACT 310 - 294 = 16
|
| | 0 | 0 | 9 | 2 | 6 | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
| | | – | 9 | 8 | | |
| | | | 3 | 1 | 0 | |
| | | – | 2 | 9 | 4 | |
| | | | | 1 | 6 | |
STEP 20: BRING DOWN
|
| | 0 | 0 | 9 | 2 | 6 | |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
| | | – | 9 | 8 | | |
| | | | 3 | 1 | 0 | |
| | | – | 2 | 9 | 4 | |
| | | | | 1 | 6 | 1 |
STEP 21: DIVIDE 161 : 49 = 3 with a remainder of 14
|
| | 0 | 0 | 9 | 2 | 6 | 3 |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
| | | – | 9 | 8 | | |
| | | | 3 | 1 | 0 | |
| | | – | 2 | 9 | 4 | |
| | | | | 1 | 6 | 1 |
STEP 22: MULTIPLY 3 · 49 = 147
|
| | 0 | 0 | 9 | 2 | 6 | 3 |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
| | | – | 9 | 8 | | |
| | | | 3 | 1 | 0 | |
| | | – | 2 | 9 | 4 | |
| | | | | 1 | 6 | 1 |
| | | | | 1 | 4 | 7 |
STEP 23: SUBTRACT 161 - 147 = 14
|
| | 0 | 0 | 9 | 2 | 6 | 3 |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
| | | – | 9 | 8 | | |
| | | | 3 | 1 | 0 | |
| | | – | 2 | 9 | 4 | |
| | | | | 1 | 6 | 1 |
| | | | – | 1 | 4 | 7 |
| | | | | | 1 | 4 |
STEP 23: SUBTRACT 161 - 147 = 14
|
| | 0 | 0 | 9 | 2 | 6 | 3 |
4 | 9 | 4 | 5 | 3 | 9 | 0 | 1 |
| – | 0 | | | | | |
| | 4 | 5 | | | | |
| | – | 0 | | | | |
| | 4 | 5 | 3 | | | |
| – | 4 | 4 | 1 | | | |
| | | 1 | 2 | 9 | | |
| | | – | 9 | 8 | | |
| | | | 3 | 1 | 0 | |
| | | – | 2 | 9 | 4 | |
| | | | | 1 | 6 | 1 |
| | | | – | 1 | 4 | 7 |
| | | | | | 1 | 4 |
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