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What is the quotient and remainder when $ 600 $ is divided by $ 25 $ ?
Answer
The quotient is 24 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 2 | 4 |
2 | 5 | 6 | 0 | 0 |
| – | 0 | | |
| | 6 | 0 | |
| – | 5 | 0 | |
| | 1 | 0 | 0 |
| – | 1 | 0 | 0 |
| | | | 0 |
STEP 0: set up a division table
|
| | | | |
2 | 5 | 6 | 0 | 0 |
STEP 1: DIVIDE 6 : 25 = 0 with a remainder of 6
|
| | 0 | | |
2 | 5 | 6 | 0 | 0 |
STEP 2: MULTIPLY 0 · 25 = 0
|
| | 0 | | |
2 | 5 | 6 | 0 | 0 |
| | 0 | | |
STEP 3: SUBTRACT 6 - 0 = 6
|
| | 0 | | |
2 | 5 | 6 | 0 | 0 |
| – | 0 | | |
| | 6 | | |
STEP 4: BRING DOWN
|
| | 0 | | |
2 | 5 | 6 | 0 | 0 |
| – | 0 | | |
| | 6 | 0 | |
STEP 5: DIVIDE 60 : 25 = 2 with a remainder of 10
|
| | 0 | 2 | |
2 | 5 | 6 | 0 | 0 |
| – | 0 | | |
| | 6 | 0 | |
STEP 6: MULTIPLY 2 · 25 = 50
|
| | 0 | 2 | |
2 | 5 | 6 | 0 | 0 |
| – | 0 | | |
| | 6 | 0 | |
| | 5 | 0 | |
STEP 7: SUBTRACT 60 - 50 = 10
|
| | 0 | 2 | |
2 | 5 | 6 | 0 | 0 |
| – | 0 | | |
| | 6 | 0 | |
| – | 5 | 0 | |
| | 1 | 0 | |
STEP 8: BRING DOWN
|
| | 0 | 2 | |
2 | 5 | 6 | 0 | 0 |
| – | 0 | | |
| | 6 | 0 | |
| – | 5 | 0 | |
| | 1 | 0 | 0 |
STEP 9: DIVIDE 100 : 25 = 4 with a remainder of 0
|
| | 0 | 2 | 4 |
2 | 5 | 6 | 0 | 0 |
| – | 0 | | |
| | 6 | 0 | |
| – | 5 | 0 | |
| | 1 | 0 | 0 |
STEP 10: MULTIPLY 4 · 25 = 100
|
| | 0 | 2 | 4 |
2 | 5 | 6 | 0 | 0 |
| – | 0 | | |
| | 6 | 0 | |
| – | 5 | 0 | |
| | 1 | 0 | 0 |
| | 1 | 0 | 0 |
STEP 11: SUBTRACT 100 - 100 = 0
|
| | 0 | 2 | 4 |
2 | 5 | 6 | 0 | 0 |
| – | 0 | | |
| | 6 | 0 | |
| – | 5 | 0 | |
| | 1 | 0 | 0 |
| – | 1 | 0 | 0 |
| | | | 0 |
STEP 11: SUBTRACT 100 - 100 = 0
|
| | 0 | 2 | 4 |
2 | 5 | 6 | 0 | 0 |
| – | 0 | | |
| | 6 | 0 | |
| – | 5 | 0 | |
| | 1 | 0 | 0 |
| – | 1 | 0 | 0 |
| | | | 0 |
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