We're dividing 584169 by 35 
Our goal is to divide 584169 by 35.

Let's proceed to step 1:
5 divided by 35 is 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (8) from the dividend, attach it to 5 and continue: 58 / 35

Step 2:
The number 35 fits into 58 1 times, leaving a remainder of 23.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 35 from 58 and we're left with 23.
Include the next digit (4) from the dividend after 23, then repeat: 234 / 35

On to step 3:
234 divided by 35 is 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtract 210 from 234 to get 24.
Fetch the next digit (1) from the dividend, attach it to 24 and continue: 241 / 35

On to step 4:
241 divided by 35 is 6 with a remainder of 31.
Record the quotient 6 as the next digit in the result. 
Result so far: 166.0
If we take 210 away from 241, we end up with 31.
Append the next digit (6) from the dividend to 31 and continue with: 316 / 35

Going ahead to step 5:
35 can be fit into 316 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 1669.0
If we subtract 315 from 316, we get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 35

Advancing to step 6:
19 divided by 35 is 0 with a remainder of 19.
The next digit of our result is 0. 
Result so far: 16690.0
Subtract 0 from 19 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Going ahead to step 7:
If we divide 190 by 35, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 16690.5
Subtracting 175 from 190 leaves us with 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 8:
The number 35 fits into 150 4 times, leaving a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 16690.54
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 16690.542
The remainder is 30 after subtracting 70 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 10:
The number 35 fits into 300 8 times, leaving a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 16690.5428
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.

Advancing to step 11:
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: 16690.54285
If we subtract 175 from 200, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 12:
The number 35 fits into 250 7 times, leaving a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 16690.542857
If we subtract 245 from 250, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 13:
35 goes into 50 1 times with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 16690.5428571
If we subtract 35 from 50, we 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 14:
35 can be fit into 150 4 times, resulting in a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 16690.54285714
If we take 140 away from 150, 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.

The final result is 16690.54285714 with a remainder of 1e-08.