Let's divide 561719 by 59
We want to figure out the number of times 561719 can be divided by 59.

Advancing to step 1:
If we divide 5 by 59, we get 0 and a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Include the next digit (6) from the dividend after 5, then repeat: 56 / 59

Let's proceed to step 2:
The number 59 fits into 56 0 times, leaving a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 56 to get 56.
Bring next digit (1) of the dividend behind the 56 and repeat the process: 561 / 59

On to step 3:
The number 59 fits into 561 9 times, leaving a remainder of 30.
The number 9 becomes the next digit in our result. 
Result so far: 9.0
Subtract 531 from 561 to get 30.
Take the next digit (7) from the dividend and append it to 30, then repeat: 307 / 59

Going ahead to step 4:
The number 59 fits into 307 5 times, leaving a remainder of 12.
The number 5 becomes the next digit in our result. 
Result so far: 95.0
If we subtract 295 from 307, we get 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 59

Step 5:
When dividing 121 by 59, we get 2 with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 952.0
Subtracting 118 from 121 leaves us with 3.
Fetch the next digit (9) from the dividend, attach it to 3 and continue: 39 / 59

Advancing to step 6:
59 goes into 39 0 times with a remainder of 39.
Record the quotient 0 as the next digit in the result. 
Result so far: 9520.0
The remainder is 39 after subtracting 0 from 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 7:
59 goes into 390 6 times with a remainder of 36.
The number 6 becomes the next digit in our result. 
Result so far: 9520.6
Subtract 354 from 390 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 8:
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: 9520.66
Deduct 354 from 360 and we're left 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.

The quotient of the division is 9520.66, and the remainder is 0.006.