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Question
What is the quotient and remainder when $ 7279204 $ is divided by $ 2 $ ?
Answer
The quotient is 3639602 and the remainder is 0.
Explanation
|
Division Table
|
| | 3 | 6 | 3 | 9 | 6 | 0 | 2 |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
| | | – | 1 | 2 | | | |
| | | | | 0 | | | |
| | | | – | 0 | | | |
| | | | | 4 | | | |
| | | | – | 4 | | | |
| | | | | 0 | | | |
STEP 0: set up a division table
|
| | | | | | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
STEP 1: DIVIDE 7 : 2 = 3 with a remainder of 1
|
| | 3 | | | | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
STEP 2: MULTIPLY 3 · 2 = 6
|
| | 3 | | | | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| | 6 | | | | | | |
STEP 3: SUBTRACT 7 - 6 = 1
|
| | 3 | | | | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | | | | | | |
|
STEP 4: BRING DOWN
|
| | 3 | | | | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
STEP 5: DIVIDE 12 : 2 = 6 with a remainder of 0
|
| | 3 | 6 | | | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
STEP 6: MULTIPLY 6 · 2 = 12
|
| | 3 | 6 | | | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| | 1 | 2 | | | | | |
STEP 7: SUBTRACT 12 - 12 = 0
|
| | 3 | 6 | | | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 0 | | | | | |
|
STEP 8: BRING DOWN
|
| | 3 | 6 | | | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
STEP 9: DIVIDE 7 : 2 = 3 with a remainder of 1
|
| | 3 | 6 | 3 | | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
STEP 10: MULTIPLY 3 · 2 = 6
|
| | 3 | 6 | 3 | | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | | 6 | | | | | |
STEP 11: SUBTRACT 7 - 6 = 1
|
| | 3 | 6 | 3 | | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | | | | | |
|
STEP 12: BRING DOWN
|
| | 3 | 6 | 3 | | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
STEP 13: DIVIDE 19 : 2 = 9 with a remainder of 1
|
| | 3 | 6 | 3 | 9 | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
STEP 14: MULTIPLY 9 · 2 = 18
|
| | 3 | 6 | 3 | 9 | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | | 1 | 8 | | | | |
STEP 15: SUBTRACT 19 - 18 = 1
|
| | 3 | 6 | 3 | 9 | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | | | | |
|
STEP 16: BRING DOWN
|
| | 3 | 6 | 3 | 9 | | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
STEP 17: DIVIDE 12 : 2 = 6 with a remainder of 0
|
| | 3 | 6 | 3 | 9 | 6 | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
STEP 18: MULTIPLY 6 · 2 = 12
|
| | 3 | 6 | 3 | 9 | 6 | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
| | | | 1 | 2 | | | |
STEP 19: SUBTRACT 12 - 12 = 0
|
| | 3 | 6 | 3 | 9 | 6 | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
| | | – | 1 | 2 | | | |
| | | | | 0 | | | |
|
STEP 20: BRING DOWN
|
| | 3 | 6 | 3 | 9 | 6 | | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
| | | – | 1 | 2 | | | |
| | | | | 0 | | | |
STEP 21: DIVIDE 0 : 2 = 0 with a remainder of 0
|
| | 3 | 6 | 3 | 9 | 6 | 0 | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
| | | – | 1 | 2 | | | |
| | | | | 0 | | | |
STEP 22: MULTIPLY 0 · 2 = 0
|
| | 3 | 6 | 3 | 9 | 6 | 0 | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
| | | – | 1 | 2 | | | |
| | | | | 0 | | | |
| | | | | 0 | | | |
STEP 23: SUBTRACT 0 - 0 = 0
|
| | 3 | 6 | 3 | 9 | 6 | 0 | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
| | | – | 1 | 2 | | | |
| | | | | 0 | | | |
| | | | – | 0 | | | |
| | | | | 0 | | | |
|
STEP 24: BRING DOWN
|
| | 3 | 6 | 3 | 9 | 6 | 0 | |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
| | | – | 1 | 2 | | | |
| | | | | 0 | | | |
| | | | – | 0 | | | |
| | | | | 4 | | | |
STEP 25: DIVIDE 4 : 2 = 2 with a remainder of 0
|
| | 3 | 6 | 3 | 9 | 6 | 0 | 2 |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
| | | – | 1 | 2 | | | |
| | | | | 0 | | | |
| | | | – | 0 | | | |
| | | | | 4 | | | |
STEP 26: MULTIPLY 2 · 2 = 4
|
| | 3 | 6 | 3 | 9 | 6 | 0 | 2 |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
| | | – | 1 | 2 | | | |
| | | | | 0 | | | |
| | | | – | 0 | | | |
| | | | | 4 | | | |
| | | | | 4 | | | |
STEP 27: SUBTRACT 4 - 4 = 0
|
| | 3 | 6 | 3 | 9 | 6 | 0 | 2 |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
| | | – | 1 | 2 | | | |
| | | | | 0 | | | |
| | | | – | 0 | | | |
| | | | | 4 | | | |
| | | | – | 4 | | | |
| | | | | 0 | | | |
STEP 27: SUBTRACT 4 - 4 = 0
|
| | 3 | 6 | 3 | 9 | 6 | 0 | 2 |
| 2 | 7 | 2 | 7 | 9 | 2 | 0 | 4 |
| – | 6 | | | | | | |
| | 1 | 2 | | | | | |
| – | 1 | 2 | | | | | |
| | | 7 | | | | | |
| | – | 6 | | | | | |
| | | 1 | 9 | | | | |
| | – | 1 | 8 | | | | |
| | | | 1 | 2 | | | |
| | | – | 1 | 2 | | | |
| | | | | 0 | | | |
| | | | – | 0 | | | |
| | | | | 4 | | | |
| | | | – | 4 | | | |
| | | | | 0 | | | |
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