We look at the division of 414291 by 59 
We want to divide 414291 by 59.

Step 1:
59 goes into 4 0 times with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 59

Going ahead to step 2:
The number 59 fits into 41 0 times, leaving a remainder of 41.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 41 and we're left with 41.
Grab the next digit (4) from the dividend, add it to 41, then carry on: 414 / 59

On to step 3:
When dividing 414 by 59, we get 7 with a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Deduct 413 from 414 and we're left with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 59

Moving on to step 4:
If we divide 12 by 59, we get 0 and a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 70.0
If we subtract 0 from 12, we get 12.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 59

Let's proceed to step 5:
The number 59 fits into 129 2 times, leaving a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 702.0
Deduct 118 from 129 and we're left with 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 59

Step 6:
If we divide 111 by 59, we get 1 and a remainder of 52.
The next digit of our result is 1. 
Result so far: 7021.0
If we subtract 59 from 111, we 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.

On to step 7:
59 can be fit into 520 8 times, resulting in a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 7021.8
Deduct 472 from 520 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 8:
The number 59 fits into 480 8 times, leaving a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 7021.88
If we take 472 away from 480, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 7021.88, and the remainder is 0.008.