Let's divide 75269 by 34
We're looking to find how many times 34 goes into 75269.

Moving on to step 1:
When dividing 7 by 34, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 34

On to step 2:
34 can be fit into 75 2 times, resulting in a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 68 from 75 to get 7.
Bring next digit (2) of the dividend behind the 7 and repeat the process: 72 / 34

Moving on to step 3:
34 goes into 72 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 22.0
Subtracting 68 from 72 leaves us with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 34

Going ahead to step 4:
34 goes into 46 1 times with a remainder of 12.
The next digit of our result is 1. 
Result so far: 221.0
Subtracting 34 from 46 leaves us with 12.
Append the next digit (9) from the dividend to 12 and continue with: 129 / 34

Going ahead to step 5:
If we divide 129 by 34, we get 3 and a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 2213.0
The remainder is 27 after subtracting 102 from 129.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Advancing to step 6:
When dividing 270 by 34, we get 7 with a remainder of 32.
Record the quotient 7 as the next digit in the result. 
Result so far: 2213.7
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.

Going ahead to step 7:
If we divide 320 by 34, we get 9 and a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 2213.79
If we take 306 away from 320, we end up 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.

On to step 8:
The number 34 fits into 140 4 times, leaving a remainder of 4.
The next digit of our result is 4. 
Result so far: 2213.794
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 9:
34 goes into 40 1 times with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 2213.7941
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.

Let's proceed to step 10:
60 divided by 34 is 1 with a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 2213.79411
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 quotient of the division is 2213.79411, and the remainder is 2.6e-05.