617574 divided by 59 
Our goal is to divide 617574 by 59.

Step 1:
6 divided by 59 is 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 59

Step 2:
If we divide 61 by 59, we get 1 and a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 59 from 61 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 59

Going ahead to step 3:
When dividing 27 by 59, we get 0 with a remainder of 27.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 27 leaves us with 27.
Take the next digit (5) from the dividend and append it to 27, then repeat: 275 / 59

Going ahead to step 4:
59 can be fit into 275 4 times, resulting in a remainder of 39.
The next digit of our result is 4. 
Result so far: 104.0
Subtract 236 from 275 to get 39.
Include the next digit (7) from the dividend after 39, then repeat: 397 / 59

On to step 5:
The number 59 fits into 397 6 times, leaving a remainder of 43.
Record the quotient 6 as the next digit in the result. 
Result so far: 1046.0
Deduct 354 from 397 and we're left with 43.
Grab the next digit (4) from the dividend, add it to 43, then carry on: 434 / 59

Advancing to step 6:
59 goes into 434 7 times with a remainder of 21.
The next digit of our result is 7. 
Result so far: 10467.0
Subtracting 413 from 434 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 7:
59 can be fit into 210 3 times, resulting in a remainder of 33.
Put 3 as the next digit of the answer. 
Result so far: 10467.3
The remainder is 33 after subtracting 177 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 8:
The number 59 fits into 330 5 times, leaving a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 10467.35
Subtract 295 from 330 to get 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 9:
If we divide 350 by 59, we get 5 and a remainder of 55.
The number 5 becomes the next digit in our result. 
Result so far: 10467.355
Subtracting 295 from 350 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The quotient of the division is 10467.355, and the remainder is 0.0055.