◀ back to index
Question
What is the quotient and remainder when $ 3672 $ is divided by $ 8 $ ?
Answer
The quotient is 459 and the remainder is 0.
Explanation
Division Table
|
| 0 | 4 | 5 | 9 |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
– | 3 | 2 | | |
| | 4 | 7 | |
| – | 4 | 0 | |
| | | 7 | 2 |
| | – | 7 | 2 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
8 | 3 | 6 | 7 | 2 |
STEP 1: DIVIDE 3 : 8 = 0 with a remainder of 3
|
| 0 | | | |
8 | 3 | 6 | 7 | 2 |
STEP 2: MULTIPLY 0 · 8 = 0
|
| 0 | | | |
8 | 3 | 6 | 7 | 2 |
| 0 | | | |
STEP 3: SUBTRACT 3 - 0 = 3
|
| 0 | | | |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | | | |
STEP 4: BRING DOWN
|
| 0 | | | |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
STEP 5: DIVIDE 36 : 8 = 4 with a remainder of 4
|
| 0 | 4 | | |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
STEP 6: MULTIPLY 4 · 8 = 32
|
| 0 | 4 | | |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
| 3 | 2 | | |
STEP 7: SUBTRACT 36 - 32 = 4
|
| 0 | 4 | | |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
– | 3 | 2 | | |
| | 4 | | |
STEP 8: BRING DOWN
|
| 0 | 4 | | |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
– | 3 | 2 | | |
| | 4 | 7 | |
STEP 9: DIVIDE 47 : 8 = 5 with a remainder of 7
|
| 0 | 4 | 5 | |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
– | 3 | 2 | | |
| | 4 | 7 | |
STEP 10: MULTIPLY 5 · 8 = 40
|
| 0 | 4 | 5 | |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
– | 3 | 2 | | |
| | 4 | 7 | |
| | 4 | 0 | |
STEP 11: SUBTRACT 47 - 40 = 7
|
| 0 | 4 | 5 | |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
– | 3 | 2 | | |
| | 4 | 7 | |
| – | 4 | 0 | |
| | | 7 | |
STEP 12: BRING DOWN
|
| 0 | 4 | 5 | |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
– | 3 | 2 | | |
| | 4 | 7 | |
| – | 4 | 0 | |
| | | 7 | 2 |
STEP 13: DIVIDE 72 : 8 = 9 with a remainder of 0
|
| 0 | 4 | 5 | 9 |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
– | 3 | 2 | | |
| | 4 | 7 | |
| – | 4 | 0 | |
| | | 7 | 2 |
STEP 14: MULTIPLY 9 · 8 = 72
|
| 0 | 4 | 5 | 9 |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
– | 3 | 2 | | |
| | 4 | 7 | |
| – | 4 | 0 | |
| | | 7 | 2 |
| | | 7 | 2 |
STEP 15: SUBTRACT 72 - 72 = 0
|
| 0 | 4 | 5 | 9 |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
– | 3 | 2 | | |
| | 4 | 7 | |
| – | 4 | 0 | |
| | | 7 | 2 |
| | – | 7 | 2 |
| | | | 0 |
STEP 15: SUBTRACT 72 - 72 = 0
|
| 0 | 4 | 5 | 9 |
8 | 3 | 6 | 7 | 2 |
– | 0 | | | |
| 3 | 6 | | |
– | 3 | 2 | | |
| | 4 | 7 | |
| – | 4 | 0 | |
| | | 7 | 2 |
| | – | 7 | 2 |
| | | | 0 |
This page was created using
Long division calculator