What is the quotient and remainder when $ 45 $ is divided by $ 30 $ ?
The quotient is 1 and the remainder is 15.
| Division Table | |||
| 0 | 1 | ||
| 3 | 0 | 4 | 5 |
| – | 0 | ||
| 4 | 5 | ||
| – | 3 | 0 | |
| 1 | 5 | ||
|
STEP 0: set up a division table |
|||
| 3 | 0 | 4 | 5 |
|
STEP 1: DIVIDE 4 : 30 = 0 with a remainder of 4 |
|||
| 0 | |||
| 3 | 0 | 4 | 5 |
|
STEP 2: MULTIPLY 0 · 30 = 0 |
|||
| 0 | |||
| 3 | 0 | 4 | 5 |
| 0 | |||
|
STEP 3: SUBTRACT 4 - 0 = 4 |
|||
| 0 | |||
| 3 | 0 | 4 | 5 |
| – | 0 | ||
| 4 | |||
| STEP 4: BRING DOWN | |||
| 0 | |||
| 3 | 0 | 4 | 5 |
| – | 0 | ||
| 4 | 5 | ||
|
STEP 5: DIVIDE 45 : 30 = 1 with a remainder of 15 |
|||
| 0 | 1 | ||
| 3 | 0 | 4 | 5 |
| – | 0 | ||
| 4 | 5 | ||
|
STEP 6: MULTIPLY 1 · 30 = 30 |
|||
| 0 | 1 | ||
| 3 | 0 | 4 | 5 |
| – | 0 | ||
| 4 | 5 | ||
| 3 | 0 | ||
|
STEP 7: SUBTRACT 45 - 30 = 15 |
|||
| 0 | 1 | ||
| 3 | 0 | 4 | 5 |
| – | 0 | ||
| 4 | 5 | ||
| – | 3 | 0 | |
| 1 | 5 | ||
|
STEP 7: SUBTRACT 45 - 30 = 15 |
|||
| 0 | 1 | ||
| 3 | 0 | 4 | 5 |
| – | 0 | ||
| 4 | 5 | ||
| – | 3 | 0 | |
| 1 | 5 | ||