What is the quotient and remainder when $ 543 $ is divided by $ 3 $ ?
Answer
The quotient is 181 and the remainder is 0.
Explanation
| Division Table | |||
| 1 | 8 | 1 | |
| 3 | 5 | 4 | 3 |
| – | 3 | ||
| 2 | 4 | ||
| – | 2 | 4 | |
| 3 | |||
| – | 3 | ||
| 0 | |||
|
STEP 0: set up a division table |
|||
| 3 | 5 | 4 | 3 |
|
STEP 1: DIVIDE 5 : 3 = 1 with a remainder of 2 |
|||
| 1 | |||
| 3 | 5 | 4 | 3 |
|
STEP 2: MULTIPLY 1 · 3 = 3 |
|||
| 1 | |||
| 3 | 5 | 4 | 3 |
| 3 | |||
|
STEP 3: SUBTRACT 5 - 3 = 2 |
|||
| 1 | |||
| 3 | 5 | 4 | 3 |
| – | 3 | ||
| 2 | |||
| STEP 4: BRING DOWN | |||
| 1 | |||
| 3 | 5 | 4 | 3 |
| – | 3 | ||
| 2 | 4 | ||
|
STEP 5: DIVIDE 24 : 3 = 8 with a remainder of 0 |
|||
| 1 | 8 | ||
| 3 | 5 | 4 | 3 |
| – | 3 | ||
| 2 | 4 | ||
|
STEP 6: MULTIPLY 8 · 3 = 24 |
|||
| 1 | 8 | ||
| 3 | 5 | 4 | 3 |
| – | 3 | ||
| 2 | 4 | ||
| 2 | 4 | ||
|
STEP 7: SUBTRACT 24 - 24 = 0 |
|||
| 1 | 8 | ||
| 3 | 5 | 4 | 3 |
| – | 3 | ||
| 2 | 4 | ||
| – | 2 | 4 | |
| 0 | |||
| STEP 8: BRING DOWN | |||
| 1 | 8 | ||
| 3 | 5 | 4 | 3 |
| – | 3 | ||
| 2 | 4 | ||
| – | 2 | 4 | |
| 3 | |||
|
STEP 9: DIVIDE 3 : 3 = 1 with a remainder of 0 |
|||
| 1 | 8 | 1 | |
| 3 | 5 | 4 | 3 |
| – | 3 | ||
| 2 | 4 | ||
| – | 2 | 4 | |
| 3 | |||
|
STEP 10: MULTIPLY 1 · 3 = 3 |
|||
| 1 | 8 | 1 | |
| 3 | 5 | 4 | 3 |
| – | 3 | ||
| 2 | 4 | ||
| – | 2 | 4 | |
| 3 | |||
| 3 | |||
|
STEP 11: SUBTRACT 3 - 3 = 0 |
|||
| 1 | 8 | 1 | |
| 3 | 5 | 4 | 3 |
| – | 3 | ||
| 2 | 4 | ||
| – | 2 | 4 | |
| 3 | |||
| – | 3 | ||
| 0 | |||
|
STEP 11: SUBTRACT 3 - 3 = 0 |
|||
| 1 | 8 | 1 | |
| 3 | 5 | 4 | 3 |
| – | 3 | ||
| 2 | 4 | ||
| – | 2 | 4 | |
| 3 | |||
| – | 3 | ||
| 0 | |||
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