We look at the division of 566436 by 59 
We want to divide 566436 by 59.

Advancing to step 1:
59 can be fit into 5 0 times, resulting in a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 59

Step 2:
59 goes into 56 0 times with a remainder of 56.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 56 to get 56.
Fetch the next digit (6) from the dividend, attach it to 56 and continue: 566 / 59

Advancing to step 3:
59 can be fit into 566 9 times, resulting in a remainder of 35.
Put 9 as the next digit of the answer. 
Result so far: 9.0
The remainder is 35 after subtracting 531 from 566.
Fetch the next digit (4) from the dividend, attach it to 35 and continue: 354 / 59

Going ahead to step 4:
59 goes into 354 6 times with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 96.0
Deduct 354 from 354 and we're left with 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 59

Step 5:
3 divided by 59 is 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 960.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 59

Advancing to step 6:
The number 59 fits into 36 0 times, leaving a remainder of 36.
The next digit of our result is 0. 
Result so far: 9600.0
If we take 0 away from 36, we end up with 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 7:
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: 9600.6
If we take 354 away from 360, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 8:
If we divide 60 by 59, we get 1 and a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 9600.61
If we take 59 away from 60, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 9:
59 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 9600.61
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 10:
The number 59 fits into 100 1 times, leaving a remainder of 41.
Use 1 as the next digit of our solution. 
Result so far: 9600.6101
Subtract 59 from 100 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 11:
410 divided by 59 is 6 with a remainder of 56.
The number 6 becomes the next digit in our result. 
Result so far: 9600.61016
If we subtract 354 from 410, we get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Let's proceed to step 12:
59 goes into 560 9 times with a remainder of 29.
Use 9 as the next digit of our solution. 
Result so far: 9600.610169
The remainder is 29 after subtracting 531 from 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 13:
The number 59 fits into 290 4 times, leaving a remainder of 54.
Use 4 as the next digit of our solution. 
Result so far: 9600.6101694
If we subtract 236 from 290, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 14:
The number 59 fits into 540 9 times, leaving a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 9600.61016949
Subtract 531 from 540 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

After the division, we end up with 9600.61016949 and a remainder of 9e-09.