Let's divide 585577 by 34
Our goal is to divide 585577 by 34.

Let's proceed to step 1:
If we divide 5 by 34, we get 0 and a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 34

Let's proceed to step 2:
34 goes into 58 1 times with a remainder of 24.
The next digit of our result is 1. 
Result so far: 1.0
Deduct 34 from 58 and we're left with 24.
Append the next digit (5) from the dividend to 24 and continue with: 245 / 34

Advancing to step 3:
34 can be fit into 245 7 times, resulting in a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtract 238 from 245 to get 7.
Include the next digit (5) from the dividend after 7, then repeat: 75 / 34

Going ahead to step 4:
If we divide 75 by 34, we get 2 and a remainder of 7.
Write down 2 as next digit of the result. 
Result so far: 172.0
Subtracting 68 from 75 leaves us with 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 34

Moving on to step 5:
When dividing 77 by 34, we get 2 with a remainder of 9.
The next digit of our result is 2. 
Result so far: 1722.0
If we take 68 away from 77, we end up with 9.
Append the next digit (7) from the dividend to 9 and continue with: 97 / 34

Let's proceed to step 6:
When dividing 97 by 34, we get 2 with a remainder of 29.
Record the quotient 2 as the next digit in the result. 
Result so far: 17222.0
Deduct 68 from 97 and we're left 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.

Advancing to step 7:
The number 34 fits into 290 8 times, leaving a remainder of 18.
The next digit of our result is 8. 
Result so far: 17222.8
The remainder is 18 after subtracting 272 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 8:
34 goes into 180 5 times with a remainder of 10.
The next digit of our result is 5. 
Result so far: 17222.85
Deduct 170 from 180 and we're left 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 9:
34 can be fit into 100 2 times, resulting in a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 17222.852
Subtracting 68 from 100 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 10:
The number 34 fits into 320 9 times, leaving a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 17222.8529
Deduct 306 from 320 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 11:
34 goes into 140 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 17222.85294
Subtracting 136 from 140 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
34 can be fit into 40 1 times, resulting in a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 17222.852941
Subtract 34 from 40 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
The number 34 fits into 60 1 times, leaving a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 17222.8529411
The remainder is 26 after subtracting 34 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The final result is 17222.8529411 with a remainder of 2.6e-07.