Question
What is the quotient and remainder when $ 38 $ is divided by $ 6 $ ?
Answer
The quotient is 6 and the remainder is 2.
Explanation
| Division Table | ||
| 0 | 6 | |
| 6 | 3 | 8 |
| – | 0 | |
| 3 | 8 | |
| – | 3 | 6 |
| 2 | ||
|
STEP 0: set up a division table |
||
| 6 | 3 | 8 |
|
STEP 1: DIVIDE 3 : 6 = 0 with a remainder of 3 |
||
| 0 | ||
| 6 | 3 | 8 |
|
STEP 2: MULTIPLY 0 · 6 = 0 |
||
| 0 | ||
| 6 | 3 | 8 |
| 0 | ||
|
STEP 3: SUBTRACT 3 - 0 = 3 |
||
| 0 | ||
| 6 | 3 | 8 |
| – | 0 | |
| 3 | ||
| STEP 4: BRING DOWN | ||
| 0 | ||
| 6 | 3 | 8 |
| – | 0 | |
| 3 | 8 | |
|
STEP 5: DIVIDE 38 : 6 = 6 with a remainder of 2 |
||
| 0 | 6 | |
| 6 | 3 | 8 |
| – | 0 | |
| 3 | 8 | |
|
STEP 6: MULTIPLY 6 · 6 = 36 |
||
| 0 | 6 | |
| 6 | 3 | 8 |
| – | 0 | |
| 3 | 8 | |
| 3 | 6 | |
|
STEP 7: SUBTRACT 38 - 36 = 2 |
||
| 0 | 6 | |
| 6 | 3 | 8 |
| – | 0 | |
| 3 | 8 | |
| – | 3 | 6 |
| 2 | ||
|
STEP 7: SUBTRACT 38 - 36 = 2 |
||
| 0 | 6 | |
| 6 | 3 | 8 |
| – | 0 | |
| 3 | 8 | |
| – | 3 | 6 |
| 2 | ||
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