We look at the division of 601218 by 59 
We want to divide 601218 by 59.

On to step 1:
59 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (0) from the dividend and append it to 6, then repeat: 60 / 59

Advancing to step 2:
59 goes into 60 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 1 after subtracting 59 from 60.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 59

Let's proceed to step 3:
59 goes into 11 0 times with a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 11 to get 11.
Bring next digit (2) of the dividend behind the 11 and repeat the process: 112 / 59

Moving on to step 4:
112 divided by 59 is 1 with a remainder of 53.
The number 1 becomes the next digit in our result. 
Result so far: 101.0
The remainder is 53 after subtracting 59 from 112.
Bring next digit (1) of the dividend behind the 53 and repeat the process: 531 / 59

Let's proceed to step 5:
When dividing 531 by 59, we get 9 with a remainder of 0.
The next digit of our result is 9. 
Result so far: 1019.0
If we take 531 away from 531, we end up with 0.
Append the next digit (8) from the dividend to 0 and continue with: 8 / 59

Going ahead to step 6:
The number 59 fits into 8 0 times, leaving a remainder of 8.
The next digit of our result is 0. 
Result so far: 10190.0
If we subtract 0 from 8, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 7:
If we divide 80 by 59, we get 1 and a remainder of 21.
Record the quotient 1 as the next digit in the result. 
Result so far: 10190.1
Deduct 59 from 80 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 8:
59 can be fit into 210 3 times, resulting in a remainder of 33.
Use 3 as the next digit of our solution. 
Result so far: 10190.13
If we take 177 away from 210, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Moving on to step 9:
If we divide 330 by 59, we get 5 and a remainder of 35.
Use 5 as the next digit of our solution. 
Result so far: 10190.135
If we take 295 away from 330, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 10:
350 divided by 59 is 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 10190.1355
If we subtract 295 from 350, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Our division results in 10190.1355 with a remaining 0.00055.