We look at the division of 411631 by 59 
We want to divide 411631 by 59.

On to step 1:
4 divided by 59 is 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 59

Moving on to step 2:
41 divided by 59 is 0 with a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Grab the next digit (1) from the dividend, add it to 41, then carry on: 411 / 59

Advancing to step 3:
59 can be fit into 411 6 times, resulting in a remainder of 57.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 354 from 411, we get 57.
Bring next digit (6) of the dividend behind the 57 and repeat the process: 576 / 59

On to step 4:
If we divide 576 by 59, we get 9 and a remainder of 45.
Write down 9 as next digit of the result. 
Result so far: 69.0
Subtracting 531 from 576 leaves us with 45.
Append the next digit (3) from the dividend to 45 and continue with: 453 / 59

Let's proceed to step 5:
If we divide 453 by 59, we get 7 and a remainder of 40.
The number 7 becomes the next digit in our result. 
Result so far: 697.0
The remainder is 40 after subtracting 413 from 453.
Fetch the next digit (1) from the dividend, attach it to 40 and continue: 401 / 59

Going ahead to step 6:
The number 59 fits into 401 6 times, leaving a remainder of 47.
Record the quotient 6 as the next digit in the result. 
Result so far: 6976.0
Subtract 354 from 401 to 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.

Step 7:
The number 59 fits into 470 7 times, leaving a remainder of 57.
Record the quotient 7 as the next digit in the result. 
Result so far: 6976.7
If we take 413 away from 470, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Advancing to step 8:
When dividing 570 by 59, we get 9 with a remainder of 39.
Record the quotient 9 as the next digit in the result. 
Result so far: 6976.79
If we take 531 away from 570, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Step 9:
If we divide 390 by 59, we get 6 and a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 6976.796
If we subtract 354 from 390, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
If we divide 360 by 59, we get 6 and a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 6976.7966
Subtract 354 from 360 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Our division results in 6976.7966 with a remaining 6e-05.