What is the quotient and remainder when $ 433 $ is divided by $ 3 $ ?
Answer
The quotient is 144 and the remainder is 1.
Explanation
| Division Table | |||
| 1 | 4 | 4 | |
| 3 | 4 | 3 | 3 |
| – | 3 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | |||
|
STEP 0: set up a division table |
|||
| 3 | 4 | 3 | 3 |
|
STEP 1: DIVIDE 4 : 3 = 1 with a remainder of 1 |
|||
| 1 | |||
| 3 | 4 | 3 | 3 |
|
STEP 2: MULTIPLY 1 · 3 = 3 |
|||
| 1 | |||
| 3 | 4 | 3 | 3 |
| 3 | |||
|
STEP 3: SUBTRACT 4 - 3 = 1 |
|||
| 1 | |||
| 3 | 4 | 3 | 3 |
| – | 3 | ||
| 1 | |||
| STEP 4: BRING DOWN | |||
| 1 | |||
| 3 | 4 | 3 | 3 |
| – | 3 | ||
| 1 | 3 | ||
|
STEP 5: DIVIDE 13 : 3 = 4 with a remainder of 1 |
|||
| 1 | 4 | ||
| 3 | 4 | 3 | 3 |
| – | 3 | ||
| 1 | 3 | ||
|
STEP 6: MULTIPLY 4 · 3 = 12 |
|||
| 1 | 4 | ||
| 3 | 4 | 3 | 3 |
| – | 3 | ||
| 1 | 3 | ||
| 1 | 2 | ||
|
STEP 7: SUBTRACT 13 - 12 = 1 |
|||
| 1 | 4 | ||
| 3 | 4 | 3 | 3 |
| – | 3 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | |||
| STEP 8: BRING DOWN | |||
| 1 | 4 | ||
| 3 | 4 | 3 | 3 |
| – | 3 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | 3 | ||
|
STEP 9: DIVIDE 13 : 3 = 4 with a remainder of 1 |
|||
| 1 | 4 | 4 | |
| 3 | 4 | 3 | 3 |
| – | 3 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | 3 | ||
|
STEP 10: MULTIPLY 4 · 3 = 12 |
|||
| 1 | 4 | 4 | |
| 3 | 4 | 3 | 3 |
| – | 3 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | 3 | ||
| 1 | 2 | ||
|
STEP 11: SUBTRACT 13 - 12 = 1 |
|||
| 1 | 4 | 4 | |
| 3 | 4 | 3 | 3 |
| – | 3 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | |||
|
STEP 11: SUBTRACT 13 - 12 = 1 |
|||
| 1 | 4 | 4 | |
| 3 | 4 | 3 | 3 |
| – | 3 | ||
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | 3 | ||
| – | 1 | 2 | |
| 1 | |||
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