We look at the division of 556940 by 59 
We're looking to find how many times 59 goes into 556940.

On to step 1:
If we divide 5 by 59, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 59

Moving on to step 2:
59 can be fit into 55 0 times, resulting in a remainder of 55.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Include the next digit (6) from the dividend after 55, then repeat: 556 / 59

On to step 3:
If we divide 556 by 59, we get 9 and a remainder of 25.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Deduct 531 from 556 and we're left with 25.
Bring next digit (9) of the dividend behind the 25 and repeat the process: 259 / 59

Step 4:
59 can be fit into 259 4 times, resulting in a remainder of 23.
Record the quotient 4 as the next digit in the result. 
Result so far: 94.0
If we take 236 away from 259, we end up with 23.
Include the next digit (4) from the dividend after 23, then repeat: 234 / 59

On to step 5:
When dividing 234 by 59, we get 3 with a remainder of 57.
The number 3 becomes the next digit in our result. 
Result so far: 943.0
Subtract 177 from 234 to get 57.
Include the next digit (0) from the dividend after 57, then repeat: 570 / 59

Step 6:
When dividing 570 by 59, we get 9 with a remainder of 39.
Write down 9 as next digit of the result. 
Result so far: 9439.0
Subtract 531 from 570 to get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 7:
The number 59 fits into 390 6 times, leaving a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 9439.6
The remainder is 36 after subtracting 354 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 8:
The number 59 fits into 360 6 times, leaving a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 9439.66
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.

After the division, we end up with 9439.66 and a remainder of 0.006.