We're dividing 683017 by 59 
We want to figure out the number of times 683017 can be divided by 59.

Moving on to step 1:
When dividing 6 by 59, we get 0 with a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (8) from the dividend to 6 and continue with: 68 / 59

Advancing to step 2:
68 divided by 59 is 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 59 from 68 to get 9.
Grab the next digit (3) from the dividend, add it to 9, then carry on: 93 / 59

Advancing to step 3:
When dividing 93 by 59, we get 1 with a remainder of 34.
The next digit of our result is 1. 
Result so far: 11.0
The remainder is 34 after subtracting 59 from 93.
Append the next digit (0) from the dividend to 34 and continue with: 340 / 59

Let's proceed to step 4:
59 goes into 340 5 times with a remainder of 45.
The next digit of our result is 5. 
Result so far: 115.0
If we take 295 away from 340, we end up with 45.
Include the next digit (1) from the dividend after 45, then repeat: 451 / 59

Going ahead to step 5:
When dividing 451 by 59, we get 7 with a remainder of 38.
Write down 7 as next digit of the result. 
Result so far: 1157.0
If we take 413 away from 451, we end up with 38.
Take the next digit (7) from the dividend and append it to 38, then repeat: 387 / 59

Let's proceed to step 6:
When dividing 387 by 59, we get 6 with a remainder of 33.
Write down 6 as next digit of the result. 
Result so far: 11576.0
Subtracting 354 from 387 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Going ahead to step 7:
When dividing 330 by 59, we get 5 with a remainder of 35.
The number 5 becomes the next digit in our result. 
Result so far: 11576.5
Deduct 295 from 330 and we're left with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 8:
59 can be fit into 350 5 times, resulting in a remainder of 55.
Use 5 as the next digit of our solution. 
Result so far: 11576.55
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 11576.55, and the remainder is 0.055.