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What is the quotient and remainder when $ 1600 $ is divided by $ 25 $ ?
Answer
The quotient is 64 and the remainder is 0.
Explanation
Division Table
|
| | 0 | 0 | 6 | 4 |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
| | – | 0 | | |
| | 1 | 6 | 0 | |
| – | 1 | 5 | 0 | |
| | | 1 | 0 | 0 |
| | – | 1 | 0 | 0 |
| | | | | 0 |
STEP 0: set up a division table
|
| | | | | |
2 | 5 | 1 | 6 | 0 | 0 |
STEP 1: DIVIDE 1 : 25 = 0 with a remainder of 1
|
| | 0 | | | |
2 | 5 | 1 | 6 | 0 | 0 |
STEP 2: MULTIPLY 0 · 25 = 0
|
| | 0 | | | |
2 | 5 | 1 | 6 | 0 | 0 |
| | 0 | | | |
STEP 3: SUBTRACT 1 - 0 = 1
|
| | 0 | | | |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | | | |
STEP 4: BRING DOWN
|
| | 0 | | | |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
STEP 5: DIVIDE 16 : 25 = 0 with a remainder of 16
|
| | 0 | 0 | | |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
STEP 6: MULTIPLY 0 · 25 = 0
|
| | 0 | 0 | | |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
| | | 0 | | |
STEP 7: SUBTRACT 16 - 0 = 16
|
| | 0 | 0 | | |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
| | – | 0 | | |
| | 1 | 6 | | |
STEP 8: BRING DOWN
|
| | 0 | 0 | | |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
| | – | 0 | | |
| | 1 | 6 | 0 | |
STEP 9: DIVIDE 160 : 25 = 6 with a remainder of 10
|
| | 0 | 0 | 6 | |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
| | – | 0 | | |
| | 1 | 6 | 0 | |
STEP 10: MULTIPLY 6 · 25 = 150
|
| | 0 | 0 | 6 | |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
| | – | 0 | | |
| | 1 | 6 | 0 | |
| | 1 | 5 | 0 | |
STEP 11: SUBTRACT 160 - 150 = 10
|
| | 0 | 0 | 6 | |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
| | – | 0 | | |
| | 1 | 6 | 0 | |
| – | 1 | 5 | 0 | |
| | | 1 | 0 | |
STEP 12: BRING DOWN
|
| | 0 | 0 | 6 | |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
| | – | 0 | | |
| | 1 | 6 | 0 | |
| – | 1 | 5 | 0 | |
| | | 1 | 0 | 0 |
STEP 13: DIVIDE 100 : 25 = 4 with a remainder of 0
|
| | 0 | 0 | 6 | 4 |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
| | – | 0 | | |
| | 1 | 6 | 0 | |
| – | 1 | 5 | 0 | |
| | | 1 | 0 | 0 |
STEP 14: MULTIPLY 4 · 25 = 100
|
| | 0 | 0 | 6 | 4 |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
| | – | 0 | | |
| | 1 | 6 | 0 | |
| – | 1 | 5 | 0 | |
| | | 1 | 0 | 0 |
| | | 1 | 0 | 0 |
STEP 15: SUBTRACT 100 - 100 = 0
|
| | 0 | 0 | 6 | 4 |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
| | – | 0 | | |
| | 1 | 6 | 0 | |
| – | 1 | 5 | 0 | |
| | | 1 | 0 | 0 |
| | – | 1 | 0 | 0 |
| | | | | 0 |
STEP 15: SUBTRACT 100 - 100 = 0
|
| | 0 | 0 | 6 | 4 |
2 | 5 | 1 | 6 | 0 | 0 |
| – | 0 | | | |
| | 1 | 6 | | |
| | – | 0 | | |
| | 1 | 6 | 0 | |
| – | 1 | 5 | 0 | |
| | | 1 | 0 | 0 |
| | – | 1 | 0 | 0 |
| | | | | 0 |
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