765643 ÷ 34 
We want to figure out the number of times 765643 can be divided by 34.

Step 1:
7 divided by 34 is 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Grab the next digit (6) from the dividend, add it to 7, then carry on: 76 / 34

Advancing 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
The remainder is 8 after subtracting 68 from 76.
Bring next digit (5) of the dividend behind the 8 and repeat the process: 85 / 34

On to step 3:
When dividing 85 by 34, we get 2 with a remainder of 17.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
Deduct 68 from 85 and we're left with 17.
Bring next digit (6) of the dividend behind the 17 and repeat the process: 176 / 34

Step 4:
The number 34 fits into 176 5 times, leaving a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 225.0
The remainder is 6 after subtracting 170 from 176.
Include the next digit (4) from the dividend after 6, then repeat: 64 / 34

Going ahead to step 5:
If we divide 64 by 34, we get 1 and a remainder of 30.
Put 1 as the next digit of the answer. 
Result so far: 2251.0
The remainder is 30 after subtracting 34 from 64.
Take the next digit (3) from the dividend and append it to 30, then repeat: 303 / 34

Step 6:
The number 34 fits into 303 8 times, leaving a remainder of 31.
The next digit of our result is 8. 
Result so far: 22518.0
The remainder is 31 after subtracting 272 from 303.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 7:
When dividing 310 by 34, we get 9 with a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 22518.9
If we take 306 away from 310, we end up 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.

On to step 8:
When dividing 40 by 34, we get 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 22518.91
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.

Going ahead to step 9:
34 can be fit into 60 1 times, resulting in a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 22518.911
Subtracting 34 from 60 leaves us 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 outcome is 22518.911, with a leftover of 0.0026.