◀ back to index
Question
What is the quotient and remainder when $ 4526 $ is divided by $ 2 $ ?
Answer
The quotient is 2263 and the remainder is 0.
Explanation
|
Division Table
|
| | 2 | 2 | 6 | 3 |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 2 | | |
| – | 1 | 2 | | |
| | | 6 | | |
| | – | 6 | | |
| | | 0 | | |
STEP 0: set up a division table
|
| | | | | |
| 2 | 4 | 5 | 2 | 6 |
STEP 1: DIVIDE 4 : 2 = 2 with a remainder of 0
|
| | 2 | | | |
| 2 | 4 | 5 | 2 | 6 |
STEP 2: MULTIPLY 2 · 2 = 4
|
| | 2 | | | |
| 2 | 4 | 5 | 2 | 6 |
| | 4 | | | |
STEP 3: SUBTRACT 4 - 4 = 0
|
| | 2 | | | |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 0 | | | |
|
STEP 4: BRING DOWN
|
| | 2 | | | |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
STEP 5: DIVIDE 5 : 2 = 2 with a remainder of 1
|
| | 2 | 2 | | |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
STEP 6: MULTIPLY 2 · 2 = 4
|
| | 2 | 2 | | |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
| | 4 | | | |
STEP 7: SUBTRACT 5 - 4 = 1
|
| | 2 | 2 | | |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | | | |
|
STEP 8: BRING DOWN
|
| | 2 | 2 | | |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 2 | | |
STEP 9: DIVIDE 12 : 2 = 6 with a remainder of 0
|
| | 2 | 2 | 6 | |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 2 | | |
STEP 10: MULTIPLY 6 · 2 = 12
|
| | 2 | 2 | 6 | |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 2 | | |
| | 1 | 2 | | |
STEP 11: SUBTRACT 12 - 12 = 0
|
| | 2 | 2 | 6 | |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 2 | | |
| – | 1 | 2 | | |
| | | 0 | | |
|
STEP 12: BRING DOWN
|
| | 2 | 2 | 6 | |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 2 | | |
| – | 1 | 2 | | |
| | | 6 | | |
STEP 13: DIVIDE 6 : 2 = 3 with a remainder of 0
|
| | 2 | 2 | 6 | 3 |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 2 | | |
| – | 1 | 2 | | |
| | | 6 | | |
STEP 14: MULTIPLY 3 · 2 = 6
|
| | 2 | 2 | 6 | 3 |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 2 | | |
| – | 1 | 2 | | |
| | | 6 | | |
| | | 6 | | |
STEP 15: SUBTRACT 6 - 6 = 0
|
| | 2 | 2 | 6 | 3 |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 2 | | |
| – | 1 | 2 | | |
| | | 6 | | |
| | – | 6 | | |
| | | 0 | | |
STEP 15: SUBTRACT 6 - 6 = 0
|
| | 2 | 2 | 6 | 3 |
| 2 | 4 | 5 | 2 | 6 |
| – | 4 | | | |
| | 5 | | | |
| – | 4 | | | |
| | 1 | 2 | | |
| – | 1 | 2 | | |
| | | 6 | | |
| | – | 6 | | |
| | | 0 | | |
This page was created using
Long division calculator