Question
What is the quotient and remainder when $ 58 $ is divided by $ 165 $ ?
Answer
The quotient is 0 and the remainder is 58.
Explanation
| Division Table | ||||
| 0 | 0 | |||
| 1 | 6 | 5 | 5 | 8 |
| – | 0 | |||
| 5 | 8 | |||
| – | 0 | |||
| 5 | 8 | |||
|
STEP 0: set up a division table |
||||
| 1 | 6 | 5 | 5 | 8 |
|
STEP 1: DIVIDE 5 : 165 = 0 with a remainder of 5 |
||||
| 0 | ||||
| 1 | 6 | 5 | 5 | 8 |
|
STEP 2: MULTIPLY 0 · 165 = 0 |
||||
| 0 | ||||
| 1 | 6 | 5 | 5 | 8 |
| 0 | ||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||
| 0 | ||||
| 1 | 6 | 5 | 5 | 8 |
| – | 0 | |||
| 5 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 1 | 6 | 5 | 5 | 8 |
| – | 0 | |||
| 5 | 8 | |||
|
STEP 5: DIVIDE 58 : 165 = 0 with a remainder of 58 |
||||
| 0 | 0 | |||
| 1 | 6 | 5 | 5 | 8 |
| – | 0 | |||
| 5 | 8 | |||
|
STEP 6: MULTIPLY 0 · 165 = 0 |
||||
| 0 | 0 | |||
| 1 | 6 | 5 | 5 | 8 |
| – | 0 | |||
| 5 | 8 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 58 - 0 = 58 |
||||
| 0 | 0 | |||
| 1 | 6 | 5 | 5 | 8 |
| – | 0 | |||
| 5 | 8 | |||
| – | 0 | |||
| 5 | 8 | |||
|
STEP 7: SUBTRACT 58 - 0 = 58 |
||||
| 0 | 0 | |||
| 1 | 6 | 5 | 5 | 8 |
| – | 0 | |||
| 5 | 8 | |||
| – | 0 | |||
| 5 | 8 | |||
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