Let's divide 301510 by 34
Our goal is to divide 301510 by 34.

On to step 1:
If we divide 3 by 34, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Fetch the next digit (0) from the dividend, attach it to 3 and continue: 30 / 34

On to step 2:
When dividing 30 by 34, we get 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 30 leaves us with 30.
Bring next digit (1) of the dividend behind the 30 and repeat the process: 301 / 34

Advancing to step 3:
When dividing 301 by 34, we get 8 with a remainder of 29.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtract 272 from 301 to get 29.
Include the next digit (5) from the dividend after 29, then repeat: 295 / 34

Advancing to step 4:
34 goes into 295 8 times with a remainder of 23.
The number 8 becomes the next digit in our result. 
Result so far: 88.0
Subtracting 272 from 295 leaves us with 23.
Bring next digit (1) of the dividend behind the 23 and repeat the process: 231 / 34

Advancing to step 5:
The number 34 fits into 231 6 times, leaving a remainder of 27.
The next digit of our result is 6. 
Result so far: 886.0
The remainder is 27 after subtracting 204 from 231.
Include the next digit (0) from the dividend after 27, then repeat: 270 / 34

On to step 6:
If we divide 270 by 34, we get 7 and a remainder of 32.
The next digit of our result is 7. 
Result so far: 8867.0
Deduct 238 from 270 and we're left 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.

Let's proceed to step 7:
34 can be fit into 320 9 times, resulting in a remainder of 14.
The next digit of our result is 9. 
Result so far: 8867.9
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
The number 34 fits into 140 4 times, leaving a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 8867.94
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.

Step 9:
40 divided by 34 is 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 8867.941
If we take 34 away from 40, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 10:
When dividing 60 by 34, we get 1 with a remainder of 26.
Write down 1 as next digit of the result. 
Result so far: 8867.9411
If we subtract 34 from 60, we get 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 quotient of the division is 8867.9411, and the remainder is 0.00026.