We look at the division of 557229 by 59 
We want to divide 557229 by 59.

Moving on to step 1:
If we divide 5 by 59, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 59

Step 2:
55 divided by 59 is 0 with a remainder of 55.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 55 and we're left with 55.
Append the next digit (7) from the dividend to 55 and continue with: 557 / 59

Step 3:
557 divided by 59 is 9 with a remainder of 26.
The next digit of our result is 9. 
Result so far: 9.0
If we take 531 away from 557, we end up with 26.
Take the next digit (2) from the dividend and append it to 26, then repeat: 262 / 59

Step 4:
59 can be fit into 262 4 times, resulting in a remainder of 26.
Put 4 as the next digit of the answer. 
Result so far: 94.0
The remainder is 26 after subtracting 236 from 262.
Append the next digit (2) from the dividend to 26 and continue with: 262 / 59

Step 5:
262 divided by 59 is 4 with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 944.0
If we take 236 away from 262, we end up with 26.
Bring next digit (9) of the dividend behind the 26 and repeat the process: 269 / 59

Going ahead to step 6:
When dividing 269 by 59, we get 4 with a remainder of 33.
Put 4 as the next digit of the answer. 
Result so far: 9444.0
Subtract 236 from 269 to get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
If we divide 330 by 59, we get 5 and a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 9444.5
Deduct 295 from 330 and we're left 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.

On to step 8:
When dividing 350 by 59, we get 5 with a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 9444.55
Subtract 295 from 350 to 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 9444.55 with a remaining 0.055.