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