789834 divided by 69 
The aim is to understand the frequency of 69 in 789834.

Advancing to step 1:
If we divide 7 by 69, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Grab the next digit (8) from the dividend, add it to 7, then carry on: 78 / 69

Let's proceed to step 2:
The number 69 fits into 78 1 times, leaving a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 69 from 78 to get 9.
Append the next digit (9) from the dividend to 9 and continue with: 99 / 69

Advancing to step 3:
99 divided by 69 is 1 with a remainder of 30.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we subtract 69 from 99, we get 30.
Take the next digit (8) from the dividend and append it to 30, then repeat: 308 / 69

On to step 4:
69 can be fit into 308 4 times, resulting in a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 114.0
Deduct 276 from 308 and we're left with 32.
Take the next digit (3) from the dividend and append it to 32, then repeat: 323 / 69

Going ahead to step 5:
69 goes into 323 4 times with a remainder of 47.
Record the quotient 4 as the next digit in the result. 
Result so far: 1144.0
Subtract 276 from 323 to get 47.
Take the next digit (4) from the dividend and append it to 47, then repeat: 474 / 69

Moving on to step 6:
69 can be fit into 474 6 times, resulting in a remainder of 60.
The next digit of our result is 6. 
Result so far: 11446.0
Deduct 414 from 474 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 7:
The number 69 fits into 600 8 times, leaving a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 11446.8
If we subtract 552 from 600, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 8:
69 can be fit into 480 6 times, resulting in a remainder of 66.
The next digit of our result is 6. 
Result so far: 11446.86
If we take 414 away from 480, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 9:
69 can be fit into 660 9 times, resulting in a remainder of 39.
The number 9 becomes the next digit in our result. 
Result so far: 11446.869
The remainder is 39 after subtracting 621 from 660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Going ahead to step 10:
When dividing 390 by 69, we get 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 11446.8695
If we subtract 345 from 390, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Moving on to step 11:
When dividing 450 by 69, we get 6 with a remainder of 36.
Record the quotient 6 as the next digit in the result. 
Result so far: 11446.86956
Deduct 414 from 450 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 12:
When dividing 360 by 69, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 11446.869565
Subtract 345 from 360 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.

Going ahead to step 13:
The number 69 fits into 150 2 times, leaving a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 11446.8695652
If we subtract 138 from 150, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 14:
120 divided by 69 is 1 with a remainder of 51.
Use 1 as the next digit of our solution. 
Result so far: 11446.86956521
The remainder is 51 after subtracting 69 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Our division results in 11446.86956521 with a remaining 5.1e-08.