We look at the division of 35059481 by 586 
We're looking to find how many times 586 goes into 35059481.

Going ahead to step 1:
3 divided by 586 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 586

Step 2:
586 can be fit into 35 0 times, resulting in a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Grab the next digit (0) from the dividend, add it to 35, then carry on: 350 / 586

Moving on to step 3:
When dividing 350 by 586, we get 0 with a remainder of 350.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 350, we get 350.
Include the next digit (5) from the dividend after 350, then repeat: 3505 / 586

Advancing to step 4:
The number 586 fits into 3505 5 times, leaving a remainder of 575.
The next digit of our result is 5. 
Result so far: 5.0
Subtract 2930 from 3505 to get 575.
Grab the next digit (9) from the dividend, add it to 575, then carry on: 5759 / 586

Let's proceed to step 5:
The number 586 fits into 5759 9 times, leaving a remainder of 485.
Write down 9 as next digit of the result. 
Result so far: 59.0
Deduct 5274 from 5759 and we're left with 485.
Take the next digit (4) from the dividend and append it to 485, then repeat: 4854 / 586

Advancing to step 6:
586 can be fit into 4854 8 times, resulting in a remainder of 166.
Use 8 as the next digit of our solution. 
Result so far: 598.0
Subtracting 4688 from 4854 leaves us with 166.
Take the next digit (8) from the dividend and append it to 166, then repeat: 1668 / 586

On to step 7:
586 goes into 1668 2 times with a remainder of 496.
Write down 2 as next digit of the result. 
Result so far: 5982.0
Subtracting 1172 from 1668 leaves us with 496.
Take the next digit (1) from the dividend and append it to 496, then repeat: 4961 / 586

Let's proceed to step 8:
586 goes into 4961 8 times with a remainder of 273.
Use 8 as the next digit of our solution. 
Result so far: 59828.0
If we subtract 4688 from 4961, we get 273.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2730, and continue the process.

On to step 9:
586 can be fit into 2730 4 times, resulting in a remainder of 386.
Use 4 as the next digit of our solution. 
Result so far: 59828.4
Subtract 2344 from 2730 to get 386.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3860, and continue the process.

Moving on to step 10:
586 goes into 3860 6 times with a remainder of 344.
Use 6 as the next digit of our solution. 
Result so far: 59828.46
Deduct 3516 from 3860 and we're left with 344.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3440, and continue the process.

On to step 11:
When dividing 3440 by 586, we get 5 with a remainder of 510.
Write down 5 as next digit of the result. 
Result so far: 59828.465
Deduct 2930 from 3440 and we're left with 510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5100, and continue the process.

Step 12:
586 goes into 5100 8 times with a remainder of 412.
Record the quotient 8 as the next digit in the result. 
Result so far: 59828.4658
If we take 4688 away from 5100, we end up with 412.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4120, and continue the process.

On to step 13:
If we divide 4120 by 586, we get 7 and a remainder of 18.
The number 7 becomes the next digit in our result. 
Result so far: 59828.46587
If we subtract 4102 from 4120, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 14:
586 goes into 180 0 times with a remainder of 180.
The number 0 becomes the next digit in our result. 
Result so far: 59828.46587
Deduct 0 from 180 and we're left with 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1800, and continue the process.

Advancing to step 15:
586 goes into 1800 3 times with a remainder of 42.
Use 3 as the next digit of our solution. 
Result so far: 59828.4658703
Subtract 1758 from 1800 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Moving on to step 16:
586 goes into 420 0 times with a remainder of 420.
Write down 0 as next digit of the result. 
Result so far: 59828.4658703
Subtract 0 from 420 to get 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4200, and continue the process.

The final result is 59828.4658703 with a remainder of 4.2e-07.