◀ back to index
Question
What is the quotient and remainder when $ 859 $ is divided by $ 12 $ ?
Answer
The quotient is 71 and the remainder is 7.
Explanation
|
Division Table
|
| | | 0 | 7 | 1 |
| 1 | 2 | 8 | 5 | 9 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 8 | 4 | |
| | | | 1 | 9 |
| | | – | 1 | 2 |
| | | | | 7 |
STEP 0: set up a division table
|
| | | | | |
| 1 | 2 | 8 | 5 | 9 |
STEP 1: DIVIDE 8 : 12 = 0 with a remainder of 8
|
| | | 0 | | |
| 1 | 2 | 8 | 5 | 9 |
STEP 2: MULTIPLY 0 · 12 = 0
|
| | | 0 | | |
| 1 | 2 | 8 | 5 | 9 |
| | | 0 | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | |
| 1 | 2 | 8 | 5 | 9 |
| | – | 0 | | |
| | | 8 | | |
|
STEP 4: BRING DOWN
|
| | | 0 | | |
| 1 | 2 | 8 | 5 | 9 |
| | – | 0 | | |
| | | 8 | 5 | |
STEP 5: DIVIDE 85 : 12 = 7 with a remainder of 1
|
| | | 0 | 7 | |
| 1 | 2 | 8 | 5 | 9 |
| | – | 0 | | |
| | | 8 | 5 | |
STEP 6: MULTIPLY 7 · 12 = 84
|
| | | 0 | 7 | |
| 1 | 2 | 8 | 5 | 9 |
| | – | 0 | | |
| | | 8 | 5 | |
| | | 8 | 4 | |
STEP 7: SUBTRACT 85 - 84 = 1
|
| | | 0 | 7 | |
| 1 | 2 | 8 | 5 | 9 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 8 | 4 | |
| | | | 1 | |
|
STEP 8: BRING DOWN
|
| | | 0 | 7 | |
| 1 | 2 | 8 | 5 | 9 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 8 | 4 | |
| | | | 1 | 9 |
STEP 9: DIVIDE 19 : 12 = 1 with a remainder of 7
|
| | | 0 | 7 | 1 |
| 1 | 2 | 8 | 5 | 9 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 8 | 4 | |
| | | | 1 | 9 |
STEP 10: MULTIPLY 1 · 12 = 12
|
| | | 0 | 7 | 1 |
| 1 | 2 | 8 | 5 | 9 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 8 | 4 | |
| | | | 1 | 9 |
| | | | 1 | 2 |
STEP 11: SUBTRACT 19 - 12 = 7
|
| | | 0 | 7 | 1 |
| 1 | 2 | 8 | 5 | 9 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 8 | 4 | |
| | | | 1 | 9 |
| | | – | 1 | 2 |
| | | | | 7 |
STEP 11: SUBTRACT 19 - 12 = 7
|
| | | 0 | 7 | 1 |
| 1 | 2 | 8 | 5 | 9 |
| | – | 0 | | |
| | | 8 | 5 | |
| | – | 8 | 4 | |
| | | | 1 | 9 |
| | | – | 1 | 2 |
| | | | | 7 |
This page was created using
Long division calculator