Question
What is the quotient and remainder when $ 2132 $ is divided by $ 143 $ ?
Answer
The quotient is 14 and the remainder is 130.
Explanation
| Division Table | ||||||
| 0 | 0 | 1 | 4 | |||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 3 | ||||
| – | 1 | 4 | 3 | |||
| 7 | 0 | 2 | ||||
| – | 5 | 7 | 2 | |||
| 1 | 3 | 0 | ||||
|
STEP 0: set up a division table |
||||||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
|
STEP 1: DIVIDE 2 : 143 = 0 with a remainder of 2 |
||||||
| 0 | ||||||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
|
STEP 2: MULTIPLY 0 · 143 = 0 |
||||||
| 0 | ||||||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| 0 | ||||||
|
STEP 3: SUBTRACT 2 - 0 = 2 |
||||||
| 0 | ||||||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | ||||||
| STEP 4: BRING DOWN | ||||||
| 0 | ||||||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
|
STEP 5: DIVIDE 21 : 143 = 0 with a remainder of 21 |
||||||
| 0 | 0 | |||||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
|
STEP 6: MULTIPLY 0 · 143 = 0 |
||||||
| 0 | 0 | |||||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
| 0 | ||||||
|
STEP 7: SUBTRACT 21 - 0 = 21 |
||||||
| 0 | 0 | |||||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | |||||
| STEP 8: BRING DOWN | ||||||
| 0 | 0 | |||||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 3 | ||||
|
STEP 9: DIVIDE 213 : 143 = 1 with a remainder of 70 |
||||||
| 0 | 0 | 1 | ||||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 3 | ||||
|
STEP 10: MULTIPLY 1 · 143 = 143 |
||||||
| 0 | 0 | 1 | ||||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 3 | ||||
| 1 | 4 | 3 | ||||
|
STEP 11: SUBTRACT 213 - 143 = 70 |
||||||
| 0 | 0 | 1 | ||||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 3 | ||||
| – | 1 | 4 | 3 | |||
| 7 | 0 | |||||
| STEP 12: BRING DOWN | ||||||
| 0 | 0 | 1 | ||||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 3 | ||||
| – | 1 | 4 | 3 | |||
| 7 | 0 | 2 | ||||
|
STEP 13: DIVIDE 702 : 143 = 4 with a remainder of 130 |
||||||
| 0 | 0 | 1 | 4 | |||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 3 | ||||
| – | 1 | 4 | 3 | |||
| 7 | 0 | 2 | ||||
|
STEP 14: MULTIPLY 4 · 143 = 572 |
||||||
| 0 | 0 | 1 | 4 | |||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 3 | ||||
| – | 1 | 4 | 3 | |||
| 7 | 0 | 2 | ||||
| 5 | 7 | 2 | ||||
|
STEP 15: SUBTRACT 702 - 572 = 130 |
||||||
| 0 | 0 | 1 | 4 | |||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 3 | ||||
| – | 1 | 4 | 3 | |||
| 7 | 0 | 2 | ||||
| – | 5 | 7 | 2 | |||
| 1 | 3 | 0 | ||||
|
STEP 15: SUBTRACT 702 - 572 = 130 |
||||||
| 0 | 0 | 1 | 4 | |||
| 1 | 4 | 3 | 2 | 1 | 3 | 2 |
| – | 0 | |||||
| 2 | 1 | |||||
| – | 0 | |||||
| 2 | 1 | 3 | ||||
| – | 1 | 4 | 3 | |||
| 7 | 0 | 2 | ||||
| – | 5 | 7 | 2 | |||
| 1 | 3 | 0 | ||||
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