◀ back to index
Question
What is the quotient and remainder when $ 4863 $ is divided by $ 5 $ ?
Answer
The quotient is 972 and the remainder is 3.
Explanation
|
Division Table
|
| | 0 | 9 | 7 | 2 |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 5 | | |
| | | 3 | 6 | |
| | – | 3 | 5 | |
| | | | 1 | 3 |
| | | – | 1 | 0 |
| | | | | 3 |
STEP 0: set up a division table
|
| | | | | |
| 5 | 4 | 8 | 6 | 3 |
STEP 1: DIVIDE 4 : 5 = 0 with a remainder of 4
|
| | 0 | | | |
| 5 | 4 | 8 | 6 | 3 |
STEP 2: MULTIPLY 0 · 5 = 0
|
| | 0 | | | |
| 5 | 4 | 8 | 6 | 3 |
| | 0 | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | 0 | | | |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
STEP 5: DIVIDE 48 : 5 = 9 with a remainder of 3
|
| | 0 | 9 | | |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
STEP 6: MULTIPLY 9 · 5 = 45
|
| | 0 | 9 | | |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
| | 4 | 5 | | |
STEP 7: SUBTRACT 48 - 45 = 3
|
| | 0 | 9 | | |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 5 | | |
| | | 3 | | |
|
STEP 8: BRING DOWN
|
| | 0 | 9 | | |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 5 | | |
| | | 3 | 6 | |
STEP 9: DIVIDE 36 : 5 = 7 with a remainder of 1
|
| | 0 | 9 | 7 | |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 5 | | |
| | | 3 | 6 | |
STEP 10: MULTIPLY 7 · 5 = 35
|
| | 0 | 9 | 7 | |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 5 | | |
| | | 3 | 6 | |
| | | 3 | 5 | |
STEP 11: SUBTRACT 36 - 35 = 1
|
| | 0 | 9 | 7 | |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 5 | | |
| | | 3 | 6 | |
| | – | 3 | 5 | |
| | | | 1 | |
|
STEP 12: BRING DOWN
|
| | 0 | 9 | 7 | |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 5 | | |
| | | 3 | 6 | |
| | – | 3 | 5 | |
| | | | 1 | 3 |
STEP 13: DIVIDE 13 : 5 = 2 with a remainder of 3
|
| | 0 | 9 | 7 | 2 |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 5 | | |
| | | 3 | 6 | |
| | – | 3 | 5 | |
| | | | 1 | 3 |
STEP 14: MULTIPLY 2 · 5 = 10
|
| | 0 | 9 | 7 | 2 |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 5 | | |
| | | 3 | 6 | |
| | – | 3 | 5 | |
| | | | 1 | 3 |
| | | | 1 | 0 |
STEP 15: SUBTRACT 13 - 10 = 3
|
| | 0 | 9 | 7 | 2 |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 5 | | |
| | | 3 | 6 | |
| | – | 3 | 5 | |
| | | | 1 | 3 |
| | | – | 1 | 0 |
| | | | | 3 |
STEP 15: SUBTRACT 13 - 10 = 3
|
| | 0 | 9 | 7 | 2 |
| 5 | 4 | 8 | 6 | 3 |
| – | 0 | | | |
| | 4 | 8 | | |
| – | 4 | 5 | | |
| | | 3 | 6 | |
| | – | 3 | 5 | |
| | | | 1 | 3 |
| | | – | 1 | 0 |
| | | | | 3 |
This page was created using
Long division calculator