◀ back to index
Question
What is the quotient and remainder when $ 8526 $ is divided by $ 844 $ ?
Answer
The quotient is 10 and the remainder is 86.
Explanation
Division Table
|
| | | 0 | 0 | 1 | 0 |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | – | 0 | | |
| | | 8 | 5 | 2 | |
| | – | 8 | 4 | 4 | |
| | | | | 8 | 6 |
| | | | | – | 0 |
| | | | | 8 | 6 |
STEP 0: set up a division table
|
| | | | | | |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
STEP 1: DIVIDE 8 : 844 = 0 with a remainder of 8
|
| | | 0 | | | |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
STEP 2: MULTIPLY 0 · 844 = 0
|
| | | 0 | | | |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | | 0 | | | |
STEP 3: SUBTRACT 8 - 0 = 8
|
| | | 0 | | | |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | | | |
STEP 4: BRING DOWN
|
| | | 0 | | | |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
STEP 5: DIVIDE 85 : 844 = 0 with a remainder of 85
|
| | | 0 | 0 | | |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
STEP 6: MULTIPLY 0 · 844 = 0
|
| | | 0 | 0 | | |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | | 0 | | |
STEP 7: SUBTRACT 85 - 0 = 85
|
| | | 0 | 0 | | |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | – | 0 | | |
| | | 8 | 5 | | |
STEP 8: BRING DOWN
|
| | | 0 | 0 | | |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | – | 0 | | |
| | | 8 | 5 | 2 | |
STEP 9: DIVIDE 852 : 844 = 1 with a remainder of 8
|
| | | 0 | 0 | 1 | |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | – | 0 | | |
| | | 8 | 5 | 2 | |
STEP 10: MULTIPLY 1 · 844 = 844
|
| | | 0 | 0 | 1 | |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | – | 0 | | |
| | | 8 | 5 | 2 | |
| | | 8 | 4 | 4 | |
STEP 11: SUBTRACT 852 - 844 = 8
|
| | | 0 | 0 | 1 | |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | – | 0 | | |
| | | 8 | 5 | 2 | |
| | – | 8 | 4 | 4 | |
| | | | | 8 | |
STEP 12: BRING DOWN
|
| | | 0 | 0 | 1 | |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | – | 0 | | |
| | | 8 | 5 | 2 | |
| | – | 8 | 4 | 4 | |
| | | | | 8 | 6 |
STEP 13: DIVIDE 86 : 844 = 0 with a remainder of 86
|
| | | 0 | 0 | 1 | 0 |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | – | 0 | | |
| | | 8 | 5 | 2 | |
| | – | 8 | 4 | 4 | |
| | | | | 8 | 6 |
STEP 14: MULTIPLY 0 · 844 = 0
|
| | | 0 | 0 | 1 | 0 |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | – | 0 | | |
| | | 8 | 5 | 2 | |
| | – | 8 | 4 | 4 | |
| | | | | 8 | 6 |
| | | | | | 0 |
STEP 15: SUBTRACT 86 - 0 = 86
|
| | | 0 | 0 | 1 | 0 |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | – | 0 | | |
| | | 8 | 5 | 2 | |
| | – | 8 | 4 | 4 | |
| | | | | 8 | 6 |
| | | | | – | 0 |
| | | | | 8 | 6 |
STEP 15: SUBTRACT 86 - 0 = 86
|
| | | 0 | 0 | 1 | 0 |
8 | 4 | 4 | 8 | 5 | 2 | 6 |
| | – | 0 | | | |
| | | 8 | 5 | | |
| | | – | 0 | | |
| | | 8 | 5 | 2 | |
| | – | 8 | 4 | 4 | |
| | | | | 8 | 6 |
| | | | | – | 0 |
| | | | | 8 | 6 |
This page was created using
Long division calculator