◀ back to index
Question
What is the quotient and remainder when $ 4896 $ is divided by $ 6 $ ?
Answer
The quotient is 816 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 8 | 1 | 6 |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 6 | | |
| | | 3 | 6 | |
| | – | 3 | 6 | |
| | | | 0 | |
STEP 0: set up a division table
|
| | | | | |
| 6 | 4 | 8 | 9 | 6 |
STEP 1: DIVIDE 4 : 6 = 0 with a remainder of 4
|
| | 0 | | | |
| 6 | 4 | 8 | 9 | 6 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | | |
| 6 | 4 | 8 | 9 | 6 |
| | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | | |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
STEP 5: DIVIDE 48 : 6 = 8 with a remainder of 0
|
| | 0 | 8 | | |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
STEP 6: MULTIPLY 8 · 6 = 48
|
| | 0 | 8 | | |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
| | 4 | 8 | | |
STEP 7: SUBTRACT 48 - 48 = 0
|
| | 0 | 8 | | |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 0 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 8 | | |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
STEP 9: DIVIDE 9 : 6 = 1 with a remainder of 3
|
| | 0 | 8 | 1 | |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
STEP 10: MULTIPLY 1 · 6 = 6
|
| | 0 | 8 | 1 | |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | | 6 | | |
STEP 11: SUBTRACT 9 - 6 = 3
|
| | 0 | 8 | 1 | |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 6 | | |
| | | 3 | | |
|
STEP 12: BRING DOWN
|
| | 0 | 8 | 1 | |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 6 | | |
| | | 3 | 6 | |
STEP 13: DIVIDE 36 : 6 = 6 with a remainder of 0
|
| | 0 | 8 | 1 | 6 |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 6 | | |
| | | 3 | 6 | |
STEP 14: MULTIPLY 6 · 6 = 36
|
| | 0 | 8 | 1 | 6 |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 6 | | |
| | | 3 | 6 | |
| | | 3 | 6 | |
STEP 15: SUBTRACT 36 - 36 = 0
|
| | 0 | 8 | 1 | 6 |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 6 | | |
| | | 3 | 6 | |
| | – | 3 | 6 | |
| | | | 0 | |
STEP 15: SUBTRACT 36 - 36 = 0
|
| | 0 | 8 | 1 | 6 |
| 6 | 4 | 8 | 9 | 6 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 8 | | |
| | | 9 | | |
| | – | 6 | | |
| | | 3 | 6 | |
| | – | 3 | 6 | |
| | | | 0 | |
This page was created using
Long division calculator