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