Question
What is the quotient and remainder when $ 23 $ is divided by $ 645 $ ?
Answer
The quotient is 0 and the remainder is 23.
Explanation
| Division Table | ||||
| 0 | 0 | |||
| 6 | 4 | 5 | 2 | 3 |
| – | 0 | |||
| 2 | 3 | |||
| – | 0 | |||
| 2 | 3 | |||
|
STEP 0: set up a division table |
||||
| 6 | 4 | 5 | 2 | 3 |
|
STEP 1: DIVIDE 2 : 645 = 0 with a remainder of 2 |
||||
| 0 | ||||
| 6 | 4 | 5 | 2 | 3 |
|
STEP 2: MULTIPLY 0 · 645 = 0 |
||||
| 0 | ||||
| 6 | 4 | 5 | 2 | 3 |
| 0 | ||||
|
STEP 3: SUBTRACT 2 - 0 = 2 |
||||
| 0 | ||||
| 6 | 4 | 5 | 2 | 3 |
| – | 0 | |||
| 2 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 6 | 4 | 5 | 2 | 3 |
| – | 0 | |||
| 2 | 3 | |||
|
STEP 5: DIVIDE 23 : 645 = 0 with a remainder of 23 |
||||
| 0 | 0 | |||
| 6 | 4 | 5 | 2 | 3 |
| – | 0 | |||
| 2 | 3 | |||
|
STEP 6: MULTIPLY 0 · 645 = 0 |
||||
| 0 | 0 | |||
| 6 | 4 | 5 | 2 | 3 |
| – | 0 | |||
| 2 | 3 | |||
| 0 | ||||
|
STEP 7: SUBTRACT 23 - 0 = 23 |
||||
| 0 | 0 | |||
| 6 | 4 | 5 | 2 | 3 |
| – | 0 | |||
| 2 | 3 | |||
| – | 0 | |||
| 2 | 3 | |||
|
STEP 7: SUBTRACT 23 - 0 = 23 |
||||
| 0 | 0 | |||
| 6 | 4 | 5 | 2 | 3 |
| – | 0 | |||
| 2 | 3 | |||
| – | 0 | |||
| 2 | 3 | |||
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