Question
What is the quotient and remainder when $ 512 $ is divided by $ 32 $ ?
Answer
The quotient is 16 and the remainder is 0.
Explanation
| Division Table | ||||
| 0 | 1 | 6 | ||
| 3 | 2 | 5 | 1 | 2 |
| – | 0 | |||
| 5 | 1 | |||
| – | 3 | 2 | ||
| 1 | 9 | 2 | ||
| – | 1 | 9 | 2 | |
| 0 | ||||
|
STEP 0: set up a division table |
||||
| 3 | 2 | 5 | 1 | 2 |
|
STEP 1: DIVIDE 5 : 32 = 0 with a remainder of 5 |
||||
| 0 | ||||
| 3 | 2 | 5 | 1 | 2 |
|
STEP 2: MULTIPLY 0 · 32 = 0 |
||||
| 0 | ||||
| 3 | 2 | 5 | 1 | 2 |
| 0 | ||||
|
STEP 3: SUBTRACT 5 - 0 = 5 |
||||
| 0 | ||||
| 3 | 2 | 5 | 1 | 2 |
| – | 0 | |||
| 5 | ||||
| STEP 4: BRING DOWN | ||||
| 0 | ||||
| 3 | 2 | 5 | 1 | 2 |
| – | 0 | |||
| 5 | 1 | |||
|
STEP 5: DIVIDE 51 : 32 = 1 with a remainder of 19 |
||||
| 0 | 1 | |||
| 3 | 2 | 5 | 1 | 2 |
| – | 0 | |||
| 5 | 1 | |||
|
STEP 6: MULTIPLY 1 · 32 = 32 |
||||
| 0 | 1 | |||
| 3 | 2 | 5 | 1 | 2 |
| – | 0 | |||
| 5 | 1 | |||
| 3 | 2 | |||
|
STEP 7: SUBTRACT 51 - 32 = 19 |
||||
| 0 | 1 | |||
| 3 | 2 | 5 | 1 | 2 |
| – | 0 | |||
| 5 | 1 | |||
| – | 3 | 2 | ||
| 1 | 9 | |||
| STEP 8: BRING DOWN | ||||
| 0 | 1 | |||
| 3 | 2 | 5 | 1 | 2 |
| – | 0 | |||
| 5 | 1 | |||
| – | 3 | 2 | ||
| 1 | 9 | 2 | ||
|
STEP 9: DIVIDE 192 : 32 = 6 with a remainder of 0 |
||||
| 0 | 1 | 6 | ||
| 3 | 2 | 5 | 1 | 2 |
| – | 0 | |||
| 5 | 1 | |||
| – | 3 | 2 | ||
| 1 | 9 | 2 | ||
|
STEP 10: MULTIPLY 6 · 32 = 192 |
||||
| 0 | 1 | 6 | ||
| 3 | 2 | 5 | 1 | 2 |
| – | 0 | |||
| 5 | 1 | |||
| – | 3 | 2 | ||
| 1 | 9 | 2 | ||
| 1 | 9 | 2 | ||
|
STEP 11: SUBTRACT 192 - 192 = 0 |
||||
| 0 | 1 | 6 | ||
| 3 | 2 | 5 | 1 | 2 |
| – | 0 | |||
| 5 | 1 | |||
| – | 3 | 2 | ||
| 1 | 9 | 2 | ||
| – | 1 | 9 | 2 | |
| 0 | ||||
|
STEP 11: SUBTRACT 192 - 192 = 0 |
||||
| 0 | 1 | 6 | ||
| 3 | 2 | 5 | 1 | 2 |
| – | 0 | |||
| 5 | 1 | |||
| – | 3 | 2 | ||
| 1 | 9 | 2 | ||
| – | 1 | 9 | 2 | |
| 0 | ||||
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