We divide 640431 by 61
We want to divide 640431 by 61.

Let's proceed to step 1:
If we divide 6 by 61, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 61

Step 2:
If we divide 64 by 61, we get 1 and a remainder of 3.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 61 from 64 to get 3.
Bring next digit (0) of the dividend behind the 3 and repeat the process: 30 / 61

Let's proceed to step 3:
The number 61 fits into 30 0 times, leaving a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Subtracting 0 from 30 leaves us with 30.
Grab the next digit (4) from the dividend, add it to 30, then carry on: 304 / 61

Moving on to step 4:
When dividing 304 by 61, we get 4 with a remainder of 60.
Write down 4 as next digit of the result. 
Result so far: 104.0
Subtract 244 from 304 to get 60.
Bring next digit (3) of the dividend behind the 60 and repeat the process: 603 / 61

On to step 5:
603 divided by 61 is 9 with a remainder of 54.
Record the quotient 9 as the next digit in the result. 
Result so far: 1049.0
Subtract 549 from 603 to get 54.
Append the next digit (1) from the dividend to 54 and continue with: 541 / 61

Going ahead to step 6:
61 can be fit into 541 8 times, resulting in a remainder of 53.
Record the quotient 8 as the next digit in the result. 
Result so far: 10498.0
If we take 488 away from 541, we end up with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Going ahead to step 7:
When dividing 530 by 61, we get 8 with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 10498.8
Subtract 488 from 530 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 8:
When dividing 420 by 61, we get 6 with a remainder of 54.
Record the quotient 6 as the next digit in the result. 
Result so far: 10498.86
Subtract 366 from 420 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 9:
540 divided by 61 is 8 with a remainder of 52.
Record the quotient 8 as the next digit in the result. 
Result so far: 10498.868
Subtract 488 from 540 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 10:
When dividing 520 by 61, we get 8 with a remainder of 32.
The next digit of our result is 8. 
Result so far: 10498.8688
The remainder is 32 after subtracting 488 from 520.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

In conclusion, the division gives 10498.8688 with a balance of 0.00032.