761279 ÷ 34 
Our goal is to divide 761279 by 34.

Going ahead to step 1:
34 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 34

Let's proceed to step 2:
If we divide 76 by 34, we get 2 and a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 68 from 76 leaves us with 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 34

Let's proceed to step 3:
34 goes into 81 2 times with a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 22.0
Subtract 68 from 81 to get 13.
Grab the next digit (2) from the dividend, add it to 13, then carry on: 132 / 34

Moving on to step 4:
34 can be fit into 132 3 times, resulting in a remainder of 30.
Write down 3 as next digit of the result. 
Result so far: 223.0
The remainder is 30 after subtracting 102 from 132.
Grab the next digit (7) from the dividend, add it to 30, then carry on: 307 / 34

On to step 5:
When dividing 307 by 34, we get 9 with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 2239.0
The remainder is 1 after subtracting 306 from 307.
Fetch the next digit (9) from the dividend, attach it to 1 and continue: 19 / 34

Moving on to step 6:
34 goes into 19 0 times with a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 22390.0
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.

Advancing to step 7:
When dividing 190 by 34, we get 5 with a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 22390.5
If we take 170 away from 190, we end up 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.

Let's proceed to step 8:
34 can be fit into 200 5 times, resulting in a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 22390.55
If we take 170 away from 200, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 22390.55, with a leftover of 0.03.