We divide 109677 by 34
We want to figure out the number of times 109677 can be divided by 34.

Step 1:
34 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 34

Advancing to step 2:
10 divided by 34 is 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (9) of the dividend behind the 10 and repeat the process: 109 / 34

On to step 3:
The number 34 fits into 109 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 102 away from 109, we end up with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 34

Moving on to step 4:
76 divided by 34 is 2 with a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 32.0
Subtract 68 from 76 to get 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 34

Moving on to step 5:
If we divide 87 by 34, we get 2 and a remainder of 19.
Record the quotient 2 as the next digit in the result. 
Result so far: 322.0
Deduct 68 from 87 and we're left with 19.
Include the next digit (7) from the dividend after 19, then repeat: 197 / 34

Step 6:
34 can be fit into 197 5 times, resulting in a remainder of 27.
Record the quotient 5 as the next digit in the result. 
Result so far: 3225.0
If we take 170 away from 197, we end up with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 7:
34 goes into 270 7 times with a remainder of 32.
Put 7 as the next digit of the answer. 
Result so far: 3225.7
Subtracting 238 from 270 leaves us 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.

Step 8:
If we divide 320 by 34, we get 9 and a remainder of 14.
Put 9 as the next digit of the answer. 
Result so far: 3225.79
If we subtract 306 from 320, we 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.

Advancing to step 9:
If we divide 140 by 34, we get 4 and a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 3225.794
If we subtract 136 from 140, 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.

Moving on to step 10:
If we divide 40 by 34, we get 1 and a remainder of 6.
Put 1 as the next digit of the answer. 
Result so far: 3225.7941
Subtracting 34 from 40 leaves us 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 11:
If we divide 60 by 34, we get 1 and a remainder of 26.
Use 1 as the next digit of our solution. 
Result so far: 3225.79411
Subtract 34 from 60 to 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 final result is 3225.79411 with a remainder of 2.6e-05.