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Question
What is the quotient and remainder when $ 3466540 $ is divided by $ 5 $ ?
Answer
The quotient is 693308 and the remainder is 0.
Explanation
|
Division Table
|
| | 0 | 6 | 9 | 3 | 3 | 0 | 8 |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
| | | | – | 1 | 5 | | |
| | | | | | 4 | | |
| | | | | – | 0 | | |
| | | | | | 4 | 0 | |
| | | | | – | 4 | 0 | |
| | | | | | | 0 | |
STEP 0:
set up a division table
|
| | | | | | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
STEP 1: DIVIDE
3 : 5 = 0 with a remainder of 3
|
| | 0 | | | | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
STEP 2: MULTIPLY
0 · 5 = 0
|
| | 0 | | | | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| | 0 | | | | | | |
STEP 3: SUBTRACT
3 - 0 = 3
|
| | 0 | | | | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | | | | | | |
|
STEP 4: BRING DOWN
|
| | 0 | | | | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
STEP 5: DIVIDE
34 : 5 = 6 with a remainder of 4
|
| | 0 | 6 | | | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
STEP 6: MULTIPLY
6 · 5 = 30
|
| | 0 | 6 | | | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| | 3 | 0 | | | | | |
STEP 7: SUBTRACT
34 - 30 = 4
|
| | 0 | 6 | | | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | | | | | |
|
STEP 8: BRING DOWN
|
| | 0 | 6 | | | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
STEP 9: DIVIDE
46 : 5 = 9 with a remainder of 1
|
| | 0 | 6 | 9 | | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
STEP 10: MULTIPLY
9 · 5 = 45
|
| | 0 | 6 | 9 | | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | | 4 | 5 | | | | |
STEP 11: SUBTRACT
46 - 45 = 1
|
| | 0 | 6 | 9 | | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | | | | |
|
STEP 12: BRING DOWN
|
| | 0 | 6 | 9 | | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
STEP 13: DIVIDE
16 : 5 = 3 with a remainder of 1
|
| | 0 | 6 | 9 | 3 | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
STEP 14: MULTIPLY
3 · 5 = 15
|
| | 0 | 6 | 9 | 3 | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | | 1 | 5 | | | |
STEP 15: SUBTRACT
16 - 15 = 1
|
| | 0 | 6 | 9 | 3 | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | | | |
|
STEP 16: BRING DOWN
|
| | 0 | 6 | 9 | 3 | | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
STEP 17: DIVIDE
15 : 5 = 3 with a remainder of 0
|
| | 0 | 6 | 9 | 3 | 3 | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
STEP 18: MULTIPLY
3 · 5 = 15
|
| | 0 | 6 | 9 | 3 | 3 | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
| | | | | 1 | 5 | | |
STEP 19: SUBTRACT
15 - 15 = 0
|
| | 0 | 6 | 9 | 3 | 3 | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
| | | | – | 1 | 5 | | |
| | | | | | 0 | | |
|
STEP 20: BRING DOWN
|
| | 0 | 6 | 9 | 3 | 3 | | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
| | | | – | 1 | 5 | | |
| | | | | | 4 | | |
STEP 21: DIVIDE
4 : 5 = 0 with a remainder of 4
|
| | 0 | 6 | 9 | 3 | 3 | 0 | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
| | | | – | 1 | 5 | | |
| | | | | | 4 | | |
STEP 22: MULTIPLY
0 · 5 = 0
|
| | 0 | 6 | 9 | 3 | 3 | 0 | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
| | | | – | 1 | 5 | | |
| | | | | | 4 | | |
| | | | | | 0 | | |
STEP 23: SUBTRACT
4 - 0 = 4
|
| | 0 | 6 | 9 | 3 | 3 | 0 | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
| | | | – | 1 | 5 | | |
| | | | | | 4 | | |
| | | | | – | 0 | | |
| | | | | | 4 | | |
|
STEP 24: BRING DOWN
|
| | 0 | 6 | 9 | 3 | 3 | 0 | |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
| | | | – | 1 | 5 | | |
| | | | | | 4 | | |
| | | | | – | 0 | | |
| | | | | | 4 | 0 | |
STEP 25: DIVIDE
40 : 5 = 8 with a remainder of 0
|
| | 0 | 6 | 9 | 3 | 3 | 0 | 8 |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
| | | | – | 1 | 5 | | |
| | | | | | 4 | | |
| | | | | – | 0 | | |
| | | | | | 4 | 0 | |
STEP 26: MULTIPLY
8 · 5 = 40
|
| | 0 | 6 | 9 | 3 | 3 | 0 | 8 |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
| | | | – | 1 | 5 | | |
| | | | | | 4 | | |
| | | | | – | 0 | | |
| | | | | | 4 | 0 | |
| | | | | | 4 | 0 | |
STEP 27: SUBTRACT
40 - 40 = 0
|
| | 0 | 6 | 9 | 3 | 3 | 0 | 8 |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
| | | | – | 1 | 5 | | |
| | | | | | 4 | | |
| | | | | – | 0 | | |
| | | | | | 4 | 0 | |
| | | | | – | 4 | 0 | |
| | | | | | | 0 | |
STEP 27: SUBTRACT
40 - 40 = 0
|
| | 0 | 6 | 9 | 3 | 3 | 0 | 8 |
| 5 | 3 | 4 | 6 | 6 | 5 | 4 | 0 |
| – | 0 | | | | | | |
| | 3 | 4 | | | | | |
| – | 3 | 0 | | | | | |
| | | 4 | 6 | | | | |
| | – | 4 | 5 | | | | |
| | | | 1 | 6 | | | |
| | | – | 1 | 5 | | | |
| | | | | 1 | 5 | | |
| | | | – | 1 | 5 | | |
| | | | | | 4 | | |
| | | | | – | 0 | | |
| | | | | | 4 | 0 | |
| | | | | – | 4 | 0 | |
| | | | | | | 0 | |
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