106686 ÷ 29 
Our goal is to divide 106686 by 29.

Going ahead to step 1:
29 goes into 1 0 times with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 29

On to step 2:
29 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 29

Advancing to step 3:
The number 29 fits into 106 3 times, leaving a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 87 away from 106, we end up with 19.
Take the next digit (6) from the dividend and append it to 19, then repeat: 196 / 29

Step 4:
196 divided by 29 is 6 with a remainder of 22.
The next digit of our result is 6. 
Result so far: 36.0
The remainder is 22 after subtracting 174 from 196.
Include the next digit (8) from the dividend after 22, then repeat: 228 / 29

Moving on to step 5:
If we divide 228 by 29, we get 7 and a remainder of 25.
The number 7 becomes the next digit in our result. 
Result so far: 367.0
Deduct 203 from 228 and we're left with 25.
Bring next digit (6) of the dividend behind the 25 and repeat the process: 256 / 29

On to step 6:
256 divided by 29 is 8 with a remainder of 24.
Write down 8 as next digit of the result. 
Result so far: 3678.0
If we subtract 232 from 256, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 7:
240 divided by 29 is 8 with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 3678.8
Subtract 232 from 240 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 8:
29 goes into 80 2 times with a remainder of 22.
Record the quotient 2 as the next digit in the result. 
Result so far: 3678.82
Subtract 58 from 80 to get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 9:
29 can be fit into 220 7 times, resulting in a remainder of 17.
The next digit of our result is 7. 
Result so far: 3678.827
Subtract 203 from 220 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

On to step 10:
170 divided by 29 is 5 with a remainder of 25.
The next digit of our result is 5. 
Result so far: 3678.8275
Subtracting 145 from 170 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 11:
29 can be fit into 250 8 times, resulting in a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 3678.82758
If we take 232 away from 250, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 12:
When dividing 180 by 29, we get 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 3678.827586
The remainder is 6 after subtracting 174 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
29 goes into 60 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 3678.8275862
If we take 58 away from 60, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 14:
29 goes into 20 0 times with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 3678.8275862
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The final result is 3678.8275862 with a remainder of 2e-08.