Question
What is the quotient and remainder when $ 1158 $ is divided by $ 54 $ ?
Answer
The quotient is 21 and the remainder is 24.
Explanation
| Division Table | |||||
| 0 | 0 | 2 | 1 | ||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
| – | 0 | ||||
| 1 | 1 | 5 | |||
| – | 1 | 0 | 8 | ||
| 7 | 8 | ||||
| – | 5 | 4 | |||
| 2 | 4 | ||||
|
STEP 0: set up a division table |
|||||
| 5 | 4 | 1 | 1 | 5 | 8 |
|
STEP 1: DIVIDE 1 : 54 = 0 with a remainder of 1 |
|||||
| 0 | |||||
| 5 | 4 | 1 | 1 | 5 | 8 |
|
STEP 2: MULTIPLY 0 · 54 = 0 |
|||||
| 0 | |||||
| 5 | 4 | 1 | 1 | 5 | 8 |
| 0 | |||||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
|||||
| 0 | |||||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | |||||
| STEP 4: BRING DOWN | |||||
| 0 | |||||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
|
STEP 5: DIVIDE 11 : 54 = 0 with a remainder of 11 |
|||||
| 0 | 0 | ||||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
|
STEP 6: MULTIPLY 0 · 54 = 0 |
|||||
| 0 | 0 | ||||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
| 0 | |||||
|
STEP 7: SUBTRACT 11 - 0 = 11 |
|||||
| 0 | 0 | ||||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
| – | 0 | ||||
| 1 | 1 | ||||
| STEP 8: BRING DOWN | |||||
| 0 | 0 | ||||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
| – | 0 | ||||
| 1 | 1 | 5 | |||
|
STEP 9: DIVIDE 115 : 54 = 2 with a remainder of 7 |
|||||
| 0 | 0 | 2 | |||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
| – | 0 | ||||
| 1 | 1 | 5 | |||
|
STEP 10: MULTIPLY 2 · 54 = 108 |
|||||
| 0 | 0 | 2 | |||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
| – | 0 | ||||
| 1 | 1 | 5 | |||
| 1 | 0 | 8 | |||
|
STEP 11: SUBTRACT 115 - 108 = 7 |
|||||
| 0 | 0 | 2 | |||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
| – | 0 | ||||
| 1 | 1 | 5 | |||
| – | 1 | 0 | 8 | ||
| 7 | |||||
| STEP 12: BRING DOWN | |||||
| 0 | 0 | 2 | |||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
| – | 0 | ||||
| 1 | 1 | 5 | |||
| – | 1 | 0 | 8 | ||
| 7 | 8 | ||||
|
STEP 13: DIVIDE 78 : 54 = 1 with a remainder of 24 |
|||||
| 0 | 0 | 2 | 1 | ||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
| – | 0 | ||||
| 1 | 1 | 5 | |||
| – | 1 | 0 | 8 | ||
| 7 | 8 | ||||
|
STEP 14: MULTIPLY 1 · 54 = 54 |
|||||
| 0 | 0 | 2 | 1 | ||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
| – | 0 | ||||
| 1 | 1 | 5 | |||
| – | 1 | 0 | 8 | ||
| 7 | 8 | ||||
| 5 | 4 | ||||
|
STEP 15: SUBTRACT 78 - 54 = 24 |
|||||
| 0 | 0 | 2 | 1 | ||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
| – | 0 | ||||
| 1 | 1 | 5 | |||
| – | 1 | 0 | 8 | ||
| 7 | 8 | ||||
| – | 5 | 4 | |||
| 2 | 4 | ||||
|
STEP 15: SUBTRACT 78 - 54 = 24 |
|||||
| 0 | 0 | 2 | 1 | ||
| 5 | 4 | 1 | 1 | 5 | 8 |
| – | 0 | ||||
| 1 | 1 | ||||
| – | 0 | ||||
| 1 | 1 | 5 | |||
| – | 1 | 0 | 8 | ||
| 7 | 8 | ||||
| – | 5 | 4 | |||
| 2 | 4 | ||||
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