Question
What is the quotient and remainder when $ 132 $ is divided by $ 78 $ ?
Answer
The quotient is 1 and the remainder is 54.
Explanation
| Division Table | ||||
| 0 | 0 | 1 | ||
| 7 | 8 | 1 | 3 | 2 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 2 | ||
| – | 7 | 8 | ||
| 5 | 4 | |||
|
STEP 0: set up a division table |
||||
| 7 | 8 | 1 | 3 | 2 |
|
STEP 1: DIVIDE 1 : 78 = 0 with a remainder of 1 |
||||
| 0 | ||||
| 7 | 8 | 1 | 3 | 2 |
|
STEP 2: MULTIPLY 0 · 78 = 0 |
||||
| 0 | ||||
| 7 | 8 | 1 | 3 | 2 |
| 0 | ||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||||
| 0 | ||||
| 7 | 8 | 1 | 3 | 2 |
| – | 0 | |||
| 1 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 7 | 8 | 1 | 3 | 2 |
| – | 0 | |||
| 1 | 3 | |||
|
STEP 5: DIVIDE 13 : 78 = 0 with a remainder of 13 |
||||
| 0 | 0 | |||
| 7 | 8 | 1 | 3 | 2 |
| – | 0 | |||
| 1 | 3 | |||
|
STEP 6: MULTIPLY 0 · 78 = 0 |
||||
| 0 | 0 | |||
| 7 | 8 | 1 | 3 | 2 |
| – | 0 | |||
| 1 | 3 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 13 - 0 = 13 |
||||
| 0 | 0 | |||
| 7 | 8 | 1 | 3 | 2 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 0 | |||
| 7 | 8 | 1 | 3 | 2 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 2 | ||
|
STEP 9: DIVIDE 132 : 78 = 1 with a remainder of 54 |
||||
| 0 | 0 | 1 | ||
| 7 | 8 | 1 | 3 | 2 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 2 | ||
|
STEP 10: MULTIPLY 1 · 78 = 78 |
||||
| 0 | 0 | 1 | ||
| 7 | 8 | 1 | 3 | 2 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 2 | ||
| 7 | 8 | |||
|
STEP 11: SUBTRACT 132 - 78 = 54 |
||||
| 0 | 0 | 1 | ||
| 7 | 8 | 1 | 3 | 2 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 2 | ||
| – | 7 | 8 | ||
| 5 | 4 | |||
|
STEP 11: SUBTRACT 132 - 78 = 54 |
||||
| 0 | 0 | 1 | ||
| 7 | 8 | 1 | 3 | 2 |
| – | 0 | |||
| 1 | 3 | |||
| – | 0 | |||
| 1 | 3 | 2 | ||
| – | 7 | 8 | ||
| 5 | 4 | |||
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