Question
What is the quotient and remainder when $ 683 $ is divided by $ 54 $ ?
Answer
The quotient is 12 and the remainder is 35.
Explanation
| Division Table | ||||
| 0 | 1 | 2 | ||
| 5 | 4 | 6 | 8 | 3 |
| – | 0 | |||
| 6 | 8 | |||
| – | 5 | 4 | ||
| 1 | 4 | 3 | ||
| – | 1 | 0 | 8 | |
| 3 | 5 | |||
|
STEP 0: set up a division table |
||||
| 5 | 4 | 6 | 8 | 3 |
|
STEP 1: DIVIDE 6 : 54 = 0 with a remainder of 6 |
||||
| 0 | ||||
| 5 | 4 | 6 | 8 | 3 |
|
STEP 2: MULTIPLY 0 · 54 = 0 |
||||
| 0 | ||||
| 5 | 4 | 6 | 8 | 3 |
| 0 | ||||
|
STEP 3: SUBTRACT 6 - 0 = 6 |
||||
| 0 | ||||
| 5 | 4 | 6 | 8 | 3 |
| – | 0 | |||
| 6 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 5 | 4 | 6 | 8 | 3 |
| – | 0 | |||
| 6 | 8 | |||
|
STEP 5: DIVIDE 68 : 54 = 1 with a remainder of 14 |
||||
| 0 | 1 | |||
| 5 | 4 | 6 | 8 | 3 |
| – | 0 | |||
| 6 | 8 | |||
|
STEP 6: MULTIPLY 1 · 54 = 54 |
||||
| 0 | 1 | |||
| 5 | 4 | 6 | 8 | 3 |
| – | 0 | |||
| 6 | 8 | |||
| 5 | 4 | |||
|
STEP 7: SUBTRACT 68 - 54 = 14 |
||||
| 0 | 1 | |||
| 5 | 4 | 6 | 8 | 3 |
| – | 0 | |||
| 6 | 8 | |||
| – | 5 | 4 | ||
| 1 | 4 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 1 | |||
| 5 | 4 | 6 | 8 | 3 |
| – | 0 | |||
| 6 | 8 | |||
| – | 5 | 4 | ||
| 1 | 4 | 3 | ||
|
STEP 9: DIVIDE 143 : 54 = 2 with a remainder of 35 |
||||
| 0 | 1 | 2 | ||
| 5 | 4 | 6 | 8 | 3 |
| – | 0 | |||
| 6 | 8 | |||
| – | 5 | 4 | ||
| 1 | 4 | 3 | ||
|
STEP 10: MULTIPLY 2 · 54 = 108 |
||||
| 0 | 1 | 2 | ||
| 5 | 4 | 6 | 8 | 3 |
| – | 0 | |||
| 6 | 8 | |||
| – | 5 | 4 | ||
| 1 | 4 | 3 | ||
| 1 | 0 | 8 | ||
|
STEP 11: SUBTRACT 143 - 108 = 35 |
||||
| 0 | 1 | 2 | ||
| 5 | 4 | 6 | 8 | 3 |
| – | 0 | |||
| 6 | 8 | |||
| – | 5 | 4 | ||
| 1 | 4 | 3 | ||
| – | 1 | 0 | 8 | |
| 3 | 5 | |||
|
STEP 11: SUBTRACT 143 - 108 = 35 |
||||
| 0 | 1 | 2 | ||
| 5 | 4 | 6 | 8 | 3 |
| – | 0 | |||
| 6 | 8 | |||
| – | 5 | 4 | ||
| 1 | 4 | 3 | ||
| – | 1 | 0 | 8 | |
| 3 | 5 | |||
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