◀ back to index
Question
What is the quotient and remainder when $ 2875 $ is divided by $ 6 $ ?
Answer
The quotient is 479 and the remainder is 1.
Explanation
|
Division Table
|
| | 0 | 4 | 7 | 9 |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 4 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | 5 |
| | | – | 5 | 4 |
| | | | | 1 |
STEP 0: set up a division table
|
| | | | | |
| 6 | 2 | 8 | 7 | 5 |
STEP 1: DIVIDE 2 : 6 = 0 with a remainder of 2
|
| | 0 | | | |
| 6 | 2 | 8 | 7 | 5 |
STEP 2: MULTIPLY 0 · 6 = 0
|
| | 0 | | | |
| 6 | 2 | 8 | 7 | 5 |
| | 0 | | | |
STEP 3: SUBTRACT 2 - 0 = 2
|
| | 0 | | | |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
STEP 5: DIVIDE 28 : 6 = 4 with a remainder of 4
|
| | 0 | 4 | | |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
STEP 6: MULTIPLY 4 · 6 = 24
|
| | 0 | 4 | | |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
| | 2 | 4 | | |
STEP 7: SUBTRACT 28 - 24 = 4
|
| | 0 | 4 | | |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 4 | | |
| | | 4 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 4 | | |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 4 | | |
| | | 4 | 7 | |
STEP 9: DIVIDE 47 : 6 = 7 with a remainder of 5
|
| | 0 | 4 | 7 | |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 4 | | |
| | | 4 | 7 | |
STEP 10: MULTIPLY 7 · 6 = 42
|
| | 0 | 4 | 7 | |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 4 | | |
| | | 4 | 7 | |
| | | 4 | 2 | |
STEP 11: SUBTRACT 47 - 42 = 5
|
| | 0 | 4 | 7 | |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 4 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | |
|
STEP 12: BRING DOWN
|
| | 0 | 4 | 7 | |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 4 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | 5 |
STEP 13: DIVIDE 55 : 6 = 9 with a remainder of 1
|
| | 0 | 4 | 7 | 9 |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 4 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | 5 |
STEP 14: MULTIPLY 9 · 6 = 54
|
| | 0 | 4 | 7 | 9 |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 4 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | 5 |
| | | | 5 | 4 |
STEP 15: SUBTRACT 55 - 54 = 1
|
| | 0 | 4 | 7 | 9 |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 4 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | 5 |
| | | – | 5 | 4 |
| | | | | 1 |
STEP 15: SUBTRACT 55 - 54 = 1
|
| | 0 | 4 | 7 | 9 |
| 6 | 2 | 8 | 7 | 5 |
| – | 0 | | | |
| | 2 | 8 | | |
| – | 2 | 4 | | |
| | | 4 | 7 | |
| | – | 4 | 2 | |
| | | | 5 | 5 |
| | | – | 5 | 4 |
| | | | | 1 |
This page was created using
Long division calculator