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What is the quotient and remainder when $ 13800 $ is divided by $ 575 $ ?
Answer
The quotient is 24 and the remainder is 0.
Explanation
|
Division Table
|
| | | | 0 | 0 | 0 | 2 | 4 |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
| | | | | – | 0 | | |
| | | | 1 | 3 | 8 | 0 | |
| | | – | 1 | 1 | 5 | 0 | |
| | | | | 2 | 3 | 0 | 0 |
| | | | – | 2 | 3 | 0 | 0 |
| | | | | | | | 0 |
STEP 0:
set up a division table
|
| | | | | | | | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
STEP 1: DIVIDE
1 : 575 = 0 with a remainder of 1
|
| | | | 0 | | | | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
STEP 2: MULTIPLY
0 · 575 = 0
|
| | | | 0 | | | | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | | 0 | | | | |
STEP 3: SUBTRACT
1 - 0 = 1
|
| | | | 0 | | | | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
STEP 5: DIVIDE
13 : 575 = 0 with a remainder of 13
|
| | | | 0 | 0 | | | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
STEP 6: MULTIPLY
0 · 575 = 0
|
| | | | 0 | 0 | | | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | | 0 | | | |
STEP 7: SUBTRACT
13 - 0 = 13
|
| | | | 0 | 0 | | | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
STEP 9: DIVIDE
138 : 575 = 0 with a remainder of 138
|
| | | | 0 | 0 | 0 | | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
STEP 10: MULTIPLY
0 · 575 = 0
|
| | | | 0 | 0 | 0 | | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
| | | | | | 0 | | |
STEP 11: SUBTRACT
138 - 0 = 138
|
| | | | 0 | 0 | 0 | | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
| | | | | – | 0 | | |
| | | | 1 | 3 | 8 | | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 0 | | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
| | | | | – | 0 | | |
| | | | 1 | 3 | 8 | 0 | |
STEP 13: DIVIDE
1380 : 575 = 2 with a remainder of 230
|
| | | | 0 | 0 | 0 | 2 | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
| | | | | – | 0 | | |
| | | | 1 | 3 | 8 | 0 | |
STEP 14: MULTIPLY
2 · 575 = 1150
|
| | | | 0 | 0 | 0 | 2 | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
| | | | | – | 0 | | |
| | | | 1 | 3 | 8 | 0 | |
| | | | 1 | 1 | 5 | 0 | |
STEP 15: SUBTRACT
1380 - 1150 = 230
|
| | | | 0 | 0 | 0 | 2 | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
| | | | | – | 0 | | |
| | | | 1 | 3 | 8 | 0 | |
| | | – | 1 | 1 | 5 | 0 | |
| | | | | 2 | 3 | 0 | |
|
STEP 16: BRING DOWN
|
| | | | 0 | 0 | 0 | 2 | |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
| | | | | – | 0 | | |
| | | | 1 | 3 | 8 | 0 | |
| | | – | 1 | 1 | 5 | 0 | |
| | | | | 2 | 3 | 0 | 0 |
STEP 17: DIVIDE
2300 : 575 = 4 with a remainder of 0
|
| | | | 0 | 0 | 0 | 2 | 4 |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
| | | | | – | 0 | | |
| | | | 1 | 3 | 8 | 0 | |
| | | – | 1 | 1 | 5 | 0 | |
| | | | | 2 | 3 | 0 | 0 |
STEP 18: MULTIPLY
4 · 575 = 2300
|
| | | | 0 | 0 | 0 | 2 | 4 |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
| | | | | – | 0 | | |
| | | | 1 | 3 | 8 | 0 | |
| | | – | 1 | 1 | 5 | 0 | |
| | | | | 2 | 3 | 0 | 0 |
| | | | | 2 | 3 | 0 | 0 |
STEP 19: SUBTRACT
2300 - 2300 = 0
|
| | | | 0 | 0 | 0 | 2 | 4 |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
| | | | | – | 0 | | |
| | | | 1 | 3 | 8 | 0 | |
| | | – | 1 | 1 | 5 | 0 | |
| | | | | 2 | 3 | 0 | 0 |
| | | | – | 2 | 3 | 0 | 0 |
| | | | | | | | 0 |
STEP 19: SUBTRACT
2300 - 2300 = 0
|
| | | | 0 | 0 | 0 | 2 | 4 |
| 5 | 7 | 5 | 1 | 3 | 8 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 1 | 3 | | | |
| | | | – | 0 | | | |
| | | | 1 | 3 | 8 | | |
| | | | | – | 0 | | |
| | | | 1 | 3 | 8 | 0 | |
| | | – | 1 | 1 | 5 | 0 | |
| | | | | 2 | 3 | 0 | 0 |
| | | | – | 2 | 3 | 0 | 0 |
| | | | | | | | 0 |
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