Question
What is the quotient and remainder when $ 75 $ is divided by $ 6 $ ?
Answer
The quotient is 12 and the remainder is 3.
Explanation
| Division Table | ||
| 1 | 2 | |
| 6 | 7 | 5 |
| – | 6 | |
| 1 | 5 | |
| – | 1 | 2 |
| 3 | ||
|
STEP 0: set up a division table |
||
| 6 | 7 | 5 |
|
STEP 1: DIVIDE 7 : 6 = 1 with a remainder of 1 |
||
| 1 | ||
| 6 | 7 | 5 |
|
STEP 2: MULTIPLY 1 · 6 = 6 |
||
| 1 | ||
| 6 | 7 | 5 |
| 6 | ||
|
STEP 3: SUBTRACT 7 - 6 = 1 |
||
| 1 | ||
| 6 | 7 | 5 |
| – | 6 | |
| 1 | ||
| STEP 4: BRING DOWN | ||
| 1 | ||
| 6 | 7 | 5 |
| – | 6 | |
| 1 | 5 | |
|
STEP 5: DIVIDE 15 : 6 = 2 with a remainder of 3 |
||
| 1 | 2 | |
| 6 | 7 | 5 |
| – | 6 | |
| 1 | 5 | |
|
STEP 6: MULTIPLY 2 · 6 = 12 |
||
| 1 | 2 | |
| 6 | 7 | 5 |
| – | 6 | |
| 1 | 5 | |
| 1 | 2 | |
|
STEP 7: SUBTRACT 15 - 12 = 3 |
||
| 1 | 2 | |
| 6 | 7 | 5 |
| – | 6 | |
| 1 | 5 | |
| – | 1 | 2 |
| 3 | ||
|
STEP 7: SUBTRACT 15 - 12 = 3 |
||
| 1 | 2 | |
| 6 | 7 | 5 |
| – | 6 | |
| 1 | 5 | |
| – | 1 | 2 |
| 3 | ||
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