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What is the quotient and remainder when $ 900 $ is divided by $ 4 $ ?
Answer
The quotient is 225 and the remainder is 0.
Explanation
Division Table
|
| 2 | 2 | 5 |
4 | 9 | 0 | 0 |
– | 8 | | |
| 1 | 0 | |
| – | 8 | |
| | 2 | 0 |
| – | 2 | 0 |
| | | 0 |
STEP 0: set up a division table
|
| | | |
4 | 9 | 0 | 0 |
STEP 1: DIVIDE 9 : 4 = 2 with a remainder of 1
|
| 2 | | |
4 | 9 | 0 | 0 |
STEP 2: MULTIPLY 2 · 4 = 8
|
| 2 | | |
4 | 9 | 0 | 0 |
| 8 | | |
STEP 3: SUBTRACT 9 - 8 = 1
|
| 2 | | |
4 | 9 | 0 | 0 |
– | 8 | | |
| 1 | | |
STEP 4: BRING DOWN
|
| 2 | | |
4 | 9 | 0 | 0 |
– | 8 | | |
| 1 | 0 | |
STEP 5: DIVIDE 10 : 4 = 2 with a remainder of 2
|
| 2 | 2 | |
4 | 9 | 0 | 0 |
– | 8 | | |
| 1 | 0 | |
STEP 6: MULTIPLY 2 · 4 = 8
|
| 2 | 2 | |
4 | 9 | 0 | 0 |
– | 8 | | |
| 1 | 0 | |
| | 8 | |
STEP 7: SUBTRACT 10 - 8 = 2
|
| 2 | 2 | |
4 | 9 | 0 | 0 |
– | 8 | | |
| 1 | 0 | |
| – | 8 | |
| | 2 | |
STEP 8: BRING DOWN
|
| 2 | 2 | |
4 | 9 | 0 | 0 |
– | 8 | | |
| 1 | 0 | |
| – | 8 | |
| | 2 | 0 |
STEP 9: DIVIDE 20 : 4 = 5 with a remainder of 0
|
| 2 | 2 | 5 |
4 | 9 | 0 | 0 |
– | 8 | | |
| 1 | 0 | |
| – | 8 | |
| | 2 | 0 |
STEP 10: MULTIPLY 5 · 4 = 20
|
| 2 | 2 | 5 |
4 | 9 | 0 | 0 |
– | 8 | | |
| 1 | 0 | |
| – | 8 | |
| | 2 | 0 |
| | 2 | 0 |
STEP 11: SUBTRACT 20 - 20 = 0
|
| 2 | 2 | 5 |
4 | 9 | 0 | 0 |
– | 8 | | |
| 1 | 0 | |
| – | 8 | |
| | 2 | 0 |
| – | 2 | 0 |
| | | 0 |
STEP 11: SUBTRACT 20 - 20 = 0
|
| 2 | 2 | 5 |
4 | 9 | 0 | 0 |
– | 8 | | |
| 1 | 0 | |
| – | 8 | |
| | 2 | 0 |
| – | 2 | 0 |
| | | 0 |
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