Question
What is the quotient and remainder when $ 67 $ is divided by $ 5 $ ?
Answer
The quotient is 13 and the remainder is 2.
Explanation
| Division Table | ||
| 1 | 3 | |
| 5 | 6 | 7 |
| – | 5 | |
| 1 | 7 | |
| – | 1 | 5 |
| 2 | ||
|
STEP 0: set up a division table |
||
| 5 | 6 | 7 |
|
STEP 1: DIVIDE 6 : 5 = 1 with a remainder of 1 |
||
| 1 | ||
| 5 | 6 | 7 |
|
STEP 2: MULTIPLY 1 · 5 = 5 |
||
| 1 | ||
| 5 | 6 | 7 |
| 5 | ||
|
STEP 3: SUBTRACT 6 - 5 = 1 |
||
| 1 | ||
| 5 | 6 | 7 |
| – | 5 | |
| 1 | ||
| STEP 4: BRING DOWN | ||
| 1 | ||
| 5 | 6 | 7 |
| – | 5 | |
| 1 | 7 | |
|
STEP 5: DIVIDE 17 : 5 = 3 with a remainder of 2 |
||
| 1 | 3 | |
| 5 | 6 | 7 |
| – | 5 | |
| 1 | 7 | |
|
STEP 6: MULTIPLY 3 · 5 = 15 |
||
| 1 | 3 | |
| 5 | 6 | 7 |
| – | 5 | |
| 1 | 7 | |
| 1 | 5 | |
|
STEP 7: SUBTRACT 17 - 15 = 2 |
||
| 1 | 3 | |
| 5 | 6 | 7 |
| – | 5 | |
| 1 | 7 | |
| – | 1 | 5 |
| 2 | ||
|
STEP 7: SUBTRACT 17 - 15 = 2 |
||
| 1 | 3 | |
| 5 | 6 | 7 |
| – | 5 | |
| 1 | 7 | |
| – | 1 | 5 |
| 2 | ||
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