We're dividing 563606 by 59 
We're looking to find how many times 59 goes into 563606.

Let's proceed to step 1:
When dividing 5 by 59, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 59

Let's proceed to step 2:
56 divided by 59 is 0 with a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 56, we get 56.
Fetch the next digit (3) from the dividend, attach it to 56 and continue: 563 / 59

Moving on to step 3:
The number 59 fits into 563 9 times, leaving a remainder of 32.
Write down 9 as next digit of the result. 
Result so far: 9.0
If we subtract 531 from 563, we get 32.
Fetch the next digit (6) from the dividend, attach it to 32 and continue: 326 / 59

On to step 4:
326 divided by 59 is 5 with a remainder of 31.
Record the quotient 5 as the next digit in the result. 
Result so far: 95.0
Subtracting 295 from 326 leaves us with 31.
Fetch the next digit (0) from the dividend, attach it to 31 and continue: 310 / 59

Moving on to step 5:
If we divide 310 by 59, we get 5 and a remainder of 15.
The next digit of our result is 5. 
Result so far: 955.0
Subtracting 295 from 310 leaves us with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 59

Step 6:
The number 59 fits into 156 2 times, leaving a remainder of 38.
The number 2 becomes the next digit in our result. 
Result so far: 9552.0
If we take 118 away from 156, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 7:
The number 59 fits into 380 6 times, leaving a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 9552.6
Deduct 354 from 380 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Moving on to step 8:
The number 59 fits into 260 4 times, leaving a remainder of 24.
Use 4 as the next digit of our solution. 
Result so far: 9552.64
Deduct 236 from 260 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 9:
59 goes into 240 4 times with a remainder of 4.
Use 4 as the next digit of our solution. 
Result so far: 9552.644
Subtracting 236 from 240 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

In conclusion, the division gives 9552.644 with a balance of 0.0004.