Question
What is the quotient and remainder when $ 1433 $ is divided by $ 80 $ ?
Answer
The quotient is 17 and the remainder is 73.
Explanation
| Division Table | |||||
| 0 | 0 | 1 | 7 | ||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 3 | |||
| – | 8 | 0 | |||
| 6 | 3 | 3 | |||
| – | 5 | 6 | 0 | ||
| 7 | 3 | ||||
|
STEP 0: set up a division table |
|||||
| 8 | 0 | 1 | 4 | 3 | 3 |
|
STEP 1: DIVIDE 1 : 80 = 0 with a remainder of 1 |
|||||
| 0 | |||||
| 8 | 0 | 1 | 4 | 3 | 3 |
|
STEP 2: MULTIPLY 0 · 80 = 0 |
|||||
| 0 | |||||
| 8 | 0 | 1 | 4 | 3 | 3 |
| 0 | |||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||||
| 0 | |||||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
|
STEP 5: DIVIDE 14 : 80 = 0 with a remainder of 14 |
|||||
| 0 | 0 | ||||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
|
STEP 6: MULTIPLY 0 · 80 = 0 |
|||||
| 0 | 0 | ||||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 14 - 0 = 14 |
|||||
| 0 | 0 | ||||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 3 | |||
|
STEP 9: DIVIDE 143 : 80 = 1 with a remainder of 63 |
|||||
| 0 | 0 | 1 | |||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 3 | |||
|
STEP 10: MULTIPLY 1 · 80 = 80 |
|||||
| 0 | 0 | 1 | |||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 3 | |||
| 8 | 0 | ||||
|
STEP 11: SUBTRACT 143 - 80 = 63 |
|||||
| 0 | 0 | 1 | |||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 3 | |||
| – | 8 | 0 | |||
| 6 | 3 | ||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 1 | |||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 3 | |||
| – | 8 | 0 | |||
| 6 | 3 | 3 | |||
|
STEP 13: DIVIDE 633 : 80 = 7 with a remainder of 73 |
|||||
| 0 | 0 | 1 | 7 | ||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 3 | |||
| – | 8 | 0 | |||
| 6 | 3 | 3 | |||
|
STEP 14: MULTIPLY 7 · 80 = 560 |
|||||
| 0 | 0 | 1 | 7 | ||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 3 | |||
| – | 8 | 0 | |||
| 6 | 3 | 3 | |||
| 5 | 6 | 0 | |||
|
STEP 15: SUBTRACT 633 - 560 = 73 |
|||||
| 0 | 0 | 1 | 7 | ||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 3 | |||
| – | 8 | 0 | |||
| 6 | 3 | 3 | |||
| – | 5 | 6 | 0 | ||
| 7 | 3 | ||||
|
STEP 15: SUBTRACT 633 - 560 = 73 |
|||||
| 0 | 0 | 1 | 7 | ||
| 8 | 0 | 1 | 4 | 3 | 3 |
| – | 0 | ||||
| 1 | 4 | ||||
| – | 0 | ||||
| 1 | 4 | 3 | |||
| – | 8 | 0 | |||
| 6 | 3 | 3 | |||
| – | 5 | 6 | 0 | ||
| 7 | 3 | ||||
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