Question
What is the quotient and remainder when $ 14256 $ is divided by $ 22 $ ?
Answer
The quotient is 648 and the remainder is 0.
Explanation
| Division Table | ||||||
| 0 | 0 | 6 | 4 | 8 | ||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 0 | 5 | ||||
| – | 8 | 8 | ||||
| 1 | 7 | 6 | ||||
| – | 1 | 7 | 6 | |||
| 0 | ||||||
|
STEP 0: set up a division table |
||||||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
|
STEP 1: DIVIDE 1 : 22 = 0 with a remainder of 1 |
||||||
| 0 | ||||||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
|
STEP 2: MULTIPLY 0 · 22 = 0 |
||||||
| 0 | ||||||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| 0 | ||||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||||
| 0 | ||||||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
|
STEP 5: DIVIDE 14 : 22 = 0 with a remainder of 14 |
||||||
| 0 | 0 | |||||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
|
STEP 6: MULTIPLY 0 · 22 = 0 |
||||||
| 0 | 0 | |||||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 14 - 0 = 14 |
||||||
| 0 | 0 | |||||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
|
STEP 9: DIVIDE 142 : 22 = 6 with a remainder of 10 |
||||||
| 0 | 0 | 6 | ||||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
|
STEP 10: MULTIPLY 6 · 22 = 132 |
||||||
| 0 | 0 | 6 | ||||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
| 1 | 3 | 2 | ||||
|
STEP 11: SUBTRACT 142 - 132 = 10 |
||||||
| 0 | 0 | 6 | ||||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 0 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 6 | ||||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 0 | 5 | ||||
|
STEP 13: DIVIDE 105 : 22 = 4 with a remainder of 17 |
||||||
| 0 | 0 | 6 | 4 | |||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 0 | 5 | ||||
|
STEP 14: MULTIPLY 4 · 22 = 88 |
||||||
| 0 | 0 | 6 | 4 | |||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 0 | 5 | ||||
| 8 | 8 | |||||
|
STEP 15: SUBTRACT 105 - 88 = 17 |
||||||
| 0 | 0 | 6 | 4 | |||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 0 | 5 | ||||
| – | 8 | 8 | ||||
| 1 | 7 | |||||
| STEP 16: BRING DOWN | ||||||
| 0 | 0 | 6 | 4 | |||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 0 | 5 | ||||
| – | 8 | 8 | ||||
| 1 | 7 | 6 | ||||
|
STEP 17: DIVIDE 176 : 22 = 8 with a remainder of 0 |
||||||
| 0 | 0 | 6 | 4 | 8 | ||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 0 | 5 | ||||
| – | 8 | 8 | ||||
| 1 | 7 | 6 | ||||
|
STEP 18: MULTIPLY 8 · 22 = 176 |
||||||
| 0 | 0 | 6 | 4 | 8 | ||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 0 | 5 | ||||
| – | 8 | 8 | ||||
| 1 | 7 | 6 | ||||
| 1 | 7 | 6 | ||||
|
STEP 19: SUBTRACT 176 - 176 = 0 |
||||||
| 0 | 0 | 6 | 4 | 8 | ||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 0 | 5 | ||||
| – | 8 | 8 | ||||
| 1 | 7 | 6 | ||||
| – | 1 | 7 | 6 | |||
| 0 | ||||||
|
STEP 19: SUBTRACT 176 - 176 = 0 |
||||||
| 0 | 0 | 6 | 4 | 8 | ||
| 2 | 2 | 1 | 4 | 2 | 5 | 6 |
| – | 0 | |||||
| 1 | 4 | |||||
| – | 0 | |||||
| 1 | 4 | 2 | ||||
| – | 1 | 3 | 2 | |||
| 1 | 0 | 5 | ||||
| – | 8 | 8 | ||||
| 1 | 7 | 6 | ||||
| – | 1 | 7 | 6 | |||
| 0 | ||||||
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