We're dividing 159594 by 35 
We want to figure out the number of times 159594 can be divided by 35.

On to step 1:
35 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 35

Going ahead to step 2:
35 goes into 15 0 times with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 15 after subtracting 0 from 15.
Take the next digit (9) from the dividend and append it to 15, then repeat: 159 / 35

Moving on to step 3:
When dividing 159 by 35, we get 4 with a remainder of 19.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 19 after subtracting 140 from 159.
Append the next digit (5) from the dividend to 19 and continue with: 195 / 35

Going ahead to step 4:
If we divide 195 by 35, we get 5 and a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
The remainder is 20 after subtracting 175 from 195.
Fetch the next digit (9) from the dividend, attach it to 20 and continue: 209 / 35

On to step 5:
If we divide 209 by 35, we get 5 and a remainder of 34.
Use 5 as the next digit of our solution. 
Result so far: 455.0
Subtract 175 from 209 to get 34.
Grab the next digit (4) from the dividend, add it to 34, then carry on: 344 / 35

Let's proceed to step 6:
If we divide 344 by 35, we get 9 and a remainder of 29.
Write down 9 as next digit of the result. 
Result so far: 4559.0
If we take 315 away from 344, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 7:
The number 35 fits into 290 8 times, leaving a remainder of 10.
Use 8 as the next digit of our solution. 
Result so far: 4559.8
If we take 280 away from 290, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
If we divide 100 by 35, we get 2 and a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 4559.82
If we take 70 away from 100, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 9:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 4559.828
Deduct 280 from 300 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
When dividing 200 by 35, we get 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 4559.8285
The remainder is 25 after subtracting 175 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 11:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 4559.82857
Subtracting 245 from 250 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
50 divided by 35 is 1 with a remainder of 15.
The next digit of our result is 1. 
Result so far: 4559.828571
Subtract 35 from 50 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 13:
35 goes into 150 4 times with a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 4559.8285714
Subtract 140 from 150 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 14:
If we divide 100 by 35, we get 2 and a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 4559.82857142
If we take 70 away from 100, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Our division results in 4559.82857142 with a remaining 3e-08.