Question
What is the quotient and remainder when $ 29 $ is divided by $ 3 $ ?
Answer
The quotient is 9 and the remainder is 2.
Explanation
| Division Table | ||
| 0 | 9 | |
| 3 | 2 | 9 |
| – | 0 | |
| 2 | 9 | |
| – | 2 | 7 |
| 2 | ||
|
STEP 0: set up a division table |
||
| 3 | 2 | 9 |
|
STEP 1: DIVIDE 2 : 3 = 0 with a remainder of 2 |
||
| 0 | ||
| 3 | 2 | 9 |
|
STEP 2: MULTIPLY 0 · 3 = 0 |
||
| 0 | ||
| 3 | 2 | 9 |
| 0 | ||
|
STEP 3: SUBTRACT 2 - 0 = 2 |
||
| 0 | ||
| 3 | 2 | 9 |
| – | 0 | |
| 2 | ||
| STEP 4: BRING DOWN | ||
| 0 | ||
| 3 | 2 | 9 |
| – | 0 | |
| 2 | 9 | |
|
STEP 5: DIVIDE 29 : 3 = 9 with a remainder of 2 |
||
| 0 | 9 | |
| 3 | 2 | 9 |
| – | 0 | |
| 2 | 9 | |
|
STEP 6: MULTIPLY 9 · 3 = 27 |
||
| 0 | 9 | |
| 3 | 2 | 9 |
| – | 0 | |
| 2 | 9 | |
| 2 | 7 | |
|
STEP 7: SUBTRACT 29 - 27 = 2 |
||
| 0 | 9 | |
| 3 | 2 | 9 |
| – | 0 | |
| 2 | 9 | |
| – | 2 | 7 |
| 2 | ||
|
STEP 7: SUBTRACT 29 - 27 = 2 |
||
| 0 | 9 | |
| 3 | 2 | 9 |
| – | 0 | |
| 2 | 9 | |
| – | 2 | 7 |
| 2 | ||
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