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Question
What is the quotient and remainder when $ 48000 $ is divided by $ 203 $ ?
Answer
The quotient is 236 and the remainder is 92.
Explanation
|
Division Table
|
| | | | 0 | 0 | 2 | 3 | 6 |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
| | | – | 4 | 0 | 6 | | |
| | | | | 7 | 4 | 0 | |
| | | | – | 6 | 0 | 9 | |
| | | | | 1 | 3 | 1 | 0 |
| | | | – | 1 | 2 | 1 | 8 |
| | | | | | | 9 | 2 |
STEP 0: set up a division table
|
| | | | | | | | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
STEP 1: DIVIDE 4 : 203 = 0 with a remainder of 4
|
| | | | 0 | | | | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
STEP 2: MULTIPLY 0 · 203 = 0
|
| | | | 0 | | | | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | | 0 | | | | |
STEP 3: SUBTRACT 4 - 0 = 4
|
| | | | 0 | | | | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | | | | |
|
STEP 4: BRING DOWN
|
| | | | 0 | | | | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
STEP 5: DIVIDE 48 : 203 = 0 with a remainder of 48
|
| | | | 0 | 0 | | | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
STEP 6: MULTIPLY 0 · 203 = 0
|
| | | | 0 | 0 | | | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | | 0 | | | |
STEP 7: SUBTRACT 48 - 0 = 48
|
| | | | 0 | 0 | | | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | | | |
|
STEP 8: BRING DOWN
|
| | | | 0 | 0 | | | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
STEP 9: DIVIDE 480 : 203 = 2 with a remainder of 74
|
| | | | 0 | 0 | 2 | | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
STEP 10: MULTIPLY 2 · 203 = 406
|
| | | | 0 | 0 | 2 | | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
| | | | 4 | 0 | 6 | | |
STEP 11: SUBTRACT 480 - 406 = 74
|
| | | | 0 | 0 | 2 | | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
| | | – | 4 | 0 | 6 | | |
| | | | | 7 | 4 | | |
|
STEP 12: BRING DOWN
|
| | | | 0 | 0 | 2 | | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
| | | – | 4 | 0 | 6 | | |
| | | | | 7 | 4 | 0 | |
STEP 13: DIVIDE 740 : 203 = 3 with a remainder of 131
|
| | | | 0 | 0 | 2 | 3 | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
| | | – | 4 | 0 | 6 | | |
| | | | | 7 | 4 | 0 | |
STEP 14: MULTIPLY 3 · 203 = 609
|
| | | | 0 | 0 | 2 | 3 | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
| | | – | 4 | 0 | 6 | | |
| | | | | 7 | 4 | 0 | |
| | | | | 6 | 0 | 9 | |
STEP 15: SUBTRACT 740 - 609 = 131
|
| | | | 0 | 0 | 2 | 3 | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
| | | – | 4 | 0 | 6 | | |
| | | | | 7 | 4 | 0 | |
| | | | – | 6 | 0 | 9 | |
| | | | | 1 | 3 | 1 | |
|
STEP 16: BRING DOWN
|
| | | | 0 | 0 | 2 | 3 | |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
| | | – | 4 | 0 | 6 | | |
| | | | | 7 | 4 | 0 | |
| | | | – | 6 | 0 | 9 | |
| | | | | 1 | 3 | 1 | 0 |
STEP 17: DIVIDE 1310 : 203 = 6 with a remainder of 92
|
| | | | 0 | 0 | 2 | 3 | 6 |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
| | | – | 4 | 0 | 6 | | |
| | | | | 7 | 4 | 0 | |
| | | | – | 6 | 0 | 9 | |
| | | | | 1 | 3 | 1 | 0 |
STEP 18: MULTIPLY 6 · 203 = 1218
|
| | | | 0 | 0 | 2 | 3 | 6 |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
| | | – | 4 | 0 | 6 | | |
| | | | | 7 | 4 | 0 | |
| | | | – | 6 | 0 | 9 | |
| | | | | 1 | 3 | 1 | 0 |
| | | | | 1 | 2 | 1 | 8 |
STEP 19: SUBTRACT 1310 - 1218 = 92
|
| | | | 0 | 0 | 2 | 3 | 6 |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
| | | – | 4 | 0 | 6 | | |
| | | | | 7 | 4 | 0 | |
| | | | – | 6 | 0 | 9 | |
| | | | | 1 | 3 | 1 | 0 |
| | | | – | 1 | 2 | 1 | 8 |
| | | | | | | 9 | 2 |
STEP 19: SUBTRACT 1310 - 1218 = 92
|
| | | | 0 | 0 | 2 | 3 | 6 |
| 2 | 0 | 3 | 4 | 8 | 0 | 0 | 0 |
| | | – | 0 | | | | |
| | | | 4 | 8 | | | |
| | | | – | 0 | | | |
| | | | 4 | 8 | 0 | | |
| | | – | 4 | 0 | 6 | | |
| | | | | 7 | 4 | 0 | |
| | | | – | 6 | 0 | 9 | |
| | | | | 1 | 3 | 1 | 0 |
| | | | – | 1 | 2 | 1 | 8 |
| | | | | | | 9 | 2 |
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