Let's divide 62319 by 34
Our goal is to divide 62319 by 34.

On to step 1:
34 can be fit into 6 0 times, resulting in a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 34

Let's proceed to step 2:
62 divided by 34 is 1 with a remainder of 28.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 34 from 62, we get 28.
Fetch the next digit (3) from the dividend, attach it to 28 and continue: 283 / 34

On to step 3:
34 goes into 283 8 times with a remainder of 11.
Record the quotient 8 as the next digit in the result. 
Result so far: 18.0
Subtract 272 from 283 to get 11.
Fetch the next digit (1) from the dividend, attach it to 11 and continue: 111 / 34

Moving on to step 4:
34 can be fit into 111 3 times, resulting in a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 183.0
The remainder is 9 after subtracting 102 from 111.
Take the next digit (9) from the dividend and append it to 9, then repeat: 99 / 34

Let's proceed to step 5:
99 divided by 34 is 2 with a remainder of 31.
The next digit of our result is 2. 
Result so far: 1832.0
If we take 68 away from 99, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 6:
The number 34 fits into 310 9 times, leaving a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 1832.9
If we subtract 306 from 310, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
The number 34 fits into 40 1 times, leaving a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 1832.91
If we subtract 34 from 40, we 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.

Moving on to step 8:
60 divided by 34 is 1 with a remainder of 26.
The number 1 becomes the next digit in our result. 
Result so far: 1832.911
If we take 34 away from 60, we end up with 26.
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 1832.911 with a remainder of 0.0026.