◀ back to index
Question
What is the quotient and remainder when $ 3864 $ is divided by $ 8 $ ?
Answer
The quotient is 483 and the remainder is 0.
Explanation
Division Table
|
| 0 | 4 | 8 | 3 |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
– | 3 | 2 | | |
| | 6 | 6 | |
| – | 6 | 4 | |
| | | 2 | 4 |
| | – | 2 | 4 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
8 | 3 | 8 | 6 | 4 |
STEP 1: DIVIDE 3 : 8 = 0 with a remainder of 3
|
| 0 | | | |
8 | 3 | 8 | 6 | 4 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| 0 | | | |
8 | 3 | 8 | 6 | 4 |
| 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| 0 | | | |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
STEP 5: DIVIDE 38 : 8 = 4 with a remainder of 6
|
| 0 | 4 | | |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
STEP 6: MULTIPLY 4 · 8 = 32
|
| 0 | 4 | | |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
| 3 | 2 | | |
STEP 7: SUBTRACT 38 - 32 = 6
|
| 0 | 4 | | |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
– | 3 | 2 | | |
| | 6 | | |
STEP 8: BRING DOWN
|
| 0 | 4 | | |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
– | 3 | 2 | | |
| | 6 | 6 | |
STEP 9: DIVIDE 66 : 8 = 8 with a remainder of 2
|
| 0 | 4 | 8 | |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
– | 3 | 2 | | |
| | 6 | 6 | |
STEP 10: MULTIPLY 8 · 8 = 64
|
| 0 | 4 | 8 | |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
– | 3 | 2 | | |
| | 6 | 6 | |
| | 6 | 4 | |
STEP 11: SUBTRACT 66 - 64 = 2
|
| 0 | 4 | 8 | |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
– | 3 | 2 | | |
| | 6 | 6 | |
| – | 6 | 4 | |
| | | 2 | |
STEP 12: BRING DOWN
|
| 0 | 4 | 8 | |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
– | 3 | 2 | | |
| | 6 | 6 | |
| – | 6 | 4 | |
| | | 2 | 4 |
STEP 13: DIVIDE 24 : 8 = 3 with a remainder of 0
|
| 0 | 4 | 8 | 3 |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
– | 3 | 2 | | |
| | 6 | 6 | |
| – | 6 | 4 | |
| | | 2 | 4 |
STEP 14: MULTIPLY 3 · 8 = 24
|
| 0 | 4 | 8 | 3 |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
– | 3 | 2 | | |
| | 6 | 6 | |
| – | 6 | 4 | |
| | | 2 | 4 |
| | | 2 | 4 |
STEP 15: SUBTRACT 24 - 24 = 0
|
| 0 | 4 | 8 | 3 |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
– | 3 | 2 | | |
| | 6 | 6 | |
| – | 6 | 4 | |
| | | 2 | 4 |
| | – | 2 | 4 |
| | | | 0 |
STEP 15: SUBTRACT 24 - 24 = 0
|
| 0 | 4 | 8 | 3 |
8 | 3 | 8 | 6 | 4 |
– | 0 | | | |
| 3 | 8 | | |
– | 3 | 2 | | |
| | 6 | 6 | |
| – | 6 | 4 | |
| | | 2 | 4 |
| | – | 2 | 4 |
| | | | 0 |
This page was created using
Long division calculator