111669 divided by 29 
The aim is to understand the frequency of 29 in 111669.

Advancing to step 1:
If we divide 1 by 29, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 29

Going ahead to step 2:
The number 29 fits into 11 0 times, leaving a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 11 after subtracting 0 from 11.
Take the next digit (1) from the dividend and append it to 11, then repeat: 111 / 29

Going ahead to step 3:
When dividing 111 by 29, we get 3 with a remainder of 24.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 87 from 111 and we're left with 24.
Append the next digit (6) from the dividend to 24 and continue with: 246 / 29

Step 4:
If we divide 246 by 29, we get 8 and a remainder of 14.
The number 8 becomes the next digit in our result. 
Result so far: 38.0
Deduct 232 from 246 and we're left with 14.
Fetch the next digit (6) from the dividend, attach it to 14 and continue: 146 / 29

Going ahead to step 5:
If we divide 146 by 29, we get 5 and a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 385.0
The remainder is 1 after subtracting 145 from 146.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 29

Moving on to step 6:
The number 29 fits into 19 0 times, leaving a remainder of 19.
The next digit of our result is 0. 
Result so far: 3850.0
The remainder is 19 after subtracting 0 from 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 29, we get 6 with a remainder of 16.
Use 6 as the next digit of our solution. 
Result so far: 3850.6
Subtract 174 from 190 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 8:
If we divide 160 by 29, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 3850.65
Subtract 145 from 160 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 9:
29 can be fit into 150 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 3850.655
Deduct 145 from 150 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

The quotient of the division is 3850.655, and the remainder is 0.0005.