What is the quotient and remainder when $ 12 $ is divided by $ 5 $ ?
The quotient is 2 and the remainder is 2.
| Division Table | ||
| 0 | 2 | |
| 5 | 1 | 2 |
| – | 0 | |
| 1 | 2 | |
| – | 1 | 0 |
| 2 | ||
|
STEP 0: set up a division table |
||
| 5 | 1 | 2 |
|
STEP 1: DIVIDE 1 : 5 = 0 with a remainder of 1 |
||
| 0 | ||
| 5 | 1 | 2 |
|
STEP 2: MULTIPLY 0 · 5 = 0 |
||
| 0 | ||
| 5 | 1 | 2 |
| 0 | ||
|
STEP 3: SUBTRACT 1 - 0 = 1 |
||
| 0 | ||
| 5 | 1 | 2 |
| – | 0 | |
| 1 | ||
| STEP 4: BRING DOWN | ||
| 0 | ||
| 5 | 1 | 2 |
| – | 0 | |
| 1 | 2 | |
|
STEP 5: DIVIDE 12 : 5 = 2 with a remainder of 2 |
||
| 0 | 2 | |
| 5 | 1 | 2 |
| – | 0 | |
| 1 | 2 | |
|
STEP 6: MULTIPLY 2 · 5 = 10 |
||
| 0 | 2 | |
| 5 | 1 | 2 |
| – | 0 | |
| 1 | 2 | |
| 1 | 0 | |
|
STEP 7: SUBTRACT 12 - 10 = 2 |
||
| 0 | 2 | |
| 5 | 1 | 2 |
| – | 0 | |
| 1 | 2 | |
| – | 1 | 0 |
| 2 | ||
|
STEP 7: SUBTRACT 12 - 10 = 2 |
||
| 0 | 2 | |
| 5 | 1 | 2 |
| – | 0 | |
| 1 | 2 | |
| – | 1 | 0 |
| 2 | ||