Let's divide 643561 by 71
We want to divide 643561 by 71.

Let's proceed to step 1:
6 divided by 71 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 71

Moving on to step 2:
71 can be fit into 64 0 times, resulting in a remainder of 64.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Append the next digit (3) from the dividend to 64 and continue with: 643 / 71

Going ahead to step 3:
If we divide 643 by 71, we get 9 and a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 9.0
The remainder is 4 after subtracting 639 from 643.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 71

Let's proceed to step 4:
If we divide 45 by 71, we get 0 and a remainder of 45.
Put 0 as the next digit of the answer. 
Result so far: 90.0
If we take 0 away from 45, we end up with 45.
Grab the next digit (6) from the dividend, add it to 45, then carry on: 456 / 71

Going ahead to step 5:
If we divide 456 by 71, we get 6 and a remainder of 30.
The number 6 becomes the next digit in our result. 
Result so far: 906.0
If we subtract 426 from 456, we get 30.
Bring next digit (1) of the dividend behind the 30 and repeat the process: 301 / 71

Moving on to step 6:
When dividing 301 by 71, we get 4 with a remainder of 17.
Use 4 as the next digit of our solution. 
Result so far: 9064.0
Subtract 284 from 301 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 7:
The number 71 fits into 170 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 9064.2
Subtracting 142 from 170 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Going ahead to step 8:
71 goes into 280 3 times with a remainder of 67.
Use 3 as the next digit of our solution. 
Result so far: 9064.23
If we subtract 213 from 280, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 9:
71 goes into 670 9 times with a remainder of 31.
Use 9 as the next digit of our solution. 
Result so far: 9064.239
Subtracting 639 from 670 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 10:
The number 71 fits into 310 4 times, leaving a remainder of 26.
The number 4 becomes the next digit in our result. 
Result so far: 9064.2394
If we take 284 away from 310, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 11:
If we divide 260 by 71, we get 3 and a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 9064.23943
If we subtract 213 from 260, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Let's proceed to step 12:
470 divided by 71 is 6 with a remainder of 44.
Put 6 as the next digit of the answer. 
Result so far: 9064.239436
If we subtract 426 from 470, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Moving on to step 13:
71 can be fit into 440 6 times, resulting in a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 9064.2394366
Subtracting 426 from 440 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Our division results in 9064.2394366 with a remaining 1.4e-07.