Question
What is the quotient and remainder when $ 780 $ is divided by $ 6 $ ?
Answer
The quotient is 130 and the remainder is 0.
Explanation
| Division Table | |||
| 1 | 3 | 0 | |
| 6 | 7 | 8 | 0 |
| – | 6 | ||
| 1 | 8 | ||
| – | 1 | 8 | |
| 0 | |||
| – | 0 | ||
| 0 | |||
|
STEP 0: set up a division table |
|||
| 6 | 7 | 8 | 0 |
|
STEP 1: DIVIDE 7 : 6 = 1 with a remainder of 1 |
|||
| 1 | |||
| 6 | 7 | 8 | 0 |
|
STEP 2: MULTIPLY 1 · 6 = 6 |
|||
| 1 | |||
| 6 | 7 | 8 | 0 |
| 6 | |||
|
STEP 3: SUBTRACT 7 - 6 = 1 |
|||
| 1 | |||
| 6 | 7 | 8 | 0 |
| – | 6 | ||
| 1 | |||
| STEP 4: BRING DOWN | |||
| 1 | |||
| 6 | 7 | 8 | 0 |
| – | 6 | ||
| 1 | 8 | ||
|
STEP 5: DIVIDE 18 : 6 = 3 with a remainder of 0 |
|||
| 1 | 3 | ||
| 6 | 7 | 8 | 0 |
| – | 6 | ||
| 1 | 8 | ||
|
STEP 6: MULTIPLY 3 · 6 = 18 |
|||
| 1 | 3 | ||
| 6 | 7 | 8 | 0 |
| – | 6 | ||
| 1 | 8 | ||
| 1 | 8 | ||
|
STEP 7: SUBTRACT 18 - 18 = 0 |
|||
| 1 | 3 | ||
| 6 | 7 | 8 | 0 |
| – | 6 | ||
| 1 | 8 | ||
| – | 1 | 8 | |
| 0 | |||
| STEP 8: BRING DOWN | |||
| 1 | 3 | ||
| 6 | 7 | 8 | 0 |
| – | 6 | ||
| 1 | 8 | ||
| – | 1 | 8 | |
| 0 | |||
|
STEP 9: DIVIDE 0 : 6 = 0 with a remainder of 0 |
|||
| 1 | 3 | 0 | |
| 6 | 7 | 8 | 0 |
| – | 6 | ||
| 1 | 8 | ||
| – | 1 | 8 | |
| 0 | |||
|
STEP 10: MULTIPLY 0 · 6 = 0 |
|||
| 1 | 3 | 0 | |
| 6 | 7 | 8 | 0 |
| – | 6 | ||
| 1 | 8 | ||
| – | 1 | 8 | |
| 0 | |||
| 0 | |||
|
STEP 11: SUBTRACT 0 - 0 = 0 |
|||
| 1 | 3 | 0 | |
| 6 | 7 | 8 | 0 |
| – | 6 | ||
| 1 | 8 | ||
| – | 1 | 8 | |
| 0 | |||
| – | 0 | ||
| 0 | |||
|
STEP 11: SUBTRACT 0 - 0 = 0 |
|||
| 1 | 3 | 0 | |
| 6 | 7 | 8 | 0 |
| – | 6 | ||
| 1 | 8 | ||
| – | 1 | 8 | |
| 0 | |||
| – | 0 | ||
| 0 | |||
This page was created using
Long division calculator