We're dividing 78108767 by 953 
The aim is to understand the frequency of 953 in 78108767.

Going ahead to step 1:
7 divided by 953 is 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (8) from the dividend to 7 and continue with: 78 / 953

Advancing to step 2:
The number 953 fits into 78 0 times, leaving a remainder of 78.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 78, we get 78.
Append the next digit (1) from the dividend to 78 and continue with: 781 / 953

Moving on to step 3:
781 divided by 953 is 0 with a remainder of 781.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 781 and we're left with 781.
Include the next digit (0) from the dividend after 781, then repeat: 7810 / 953

Step 4:
953 goes into 7810 8 times with a remainder of 186.
Use 8 as the next digit of our solution. 
Result so far: 8.0
The remainder is 186 after subtracting 7624 from 7810.
Grab the next digit (8) from the dividend, add it to 186, then carry on: 1868 / 953

Going ahead to step 5:
When dividing 1868 by 953, we get 1 with a remainder of 915.
Record the quotient 1 as the next digit in the result. 
Result so far: 81.0
Deduct 953 from 1868 and we're left with 915.
Fetch the next digit (7) from the dividend, attach it to 915 and continue: 9157 / 953

Advancing to step 6:
953 goes into 9157 9 times with a remainder of 580.
The number 9 becomes the next digit in our result. 
Result so far: 819.0
The remainder is 580 after subtracting 8577 from 9157.
Fetch the next digit (6) from the dividend, attach it to 580 and continue: 5806 / 953

Let's proceed to step 7:
When dividing 5806 by 953, we get 6 with a remainder of 88.
Write down 6 as next digit of the result. 
Result so far: 8196.0
Subtract 5718 from 5806 to get 88.
Take the next digit (7) from the dividend and append it to 88, then repeat: 887 / 953

On to step 8:
953 goes into 887 0 times with a remainder of 887.
The next digit of our result is 0. 
Result so far: 81960.0
Subtract 0 from 887 to get 887.
Since there are no more digits in the dividend, we add a zero to the remainder making it 8870, and continue the process.

Let's proceed to step 9:
If we divide 8870 by 953, we get 9 and a remainder of 293.
The next digit of our result is 9. 
Result so far: 81960.9
If we take 8577 away from 8870, we end up with 293.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2930, and continue the process.

Let's proceed to step 10:
The number 953 fits into 2930 3 times, leaving a remainder of 71.
The number 3 becomes the next digit in our result. 
Result so far: 81960.93
The remainder is 71 after subtracting 2859 from 2930.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

On to step 11:
953 can be fit into 710 0 times, resulting in a remainder of 710.
Record the quotient 0 as the next digit in the result. 
Result so far: 81960.93
Subtract 0 from 710 to get 710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7100, and continue the process.

Step 12:
The number 953 fits into 7100 7 times, leaving a remainder of 429.
The number 7 becomes the next digit in our result. 
Result so far: 81960.9307
The remainder is 429 after subtracting 6671 from 7100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4290, and continue the process.

Moving on to step 13:
When dividing 4290 by 953, we get 4 with a remainder of 478.
The number 4 becomes the next digit in our result. 
Result so far: 81960.93074
Deduct 3812 from 4290 and we're left with 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Let's proceed to step 14:
The number 953 fits into 4780 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 81960.930745
If we take 4765 away from 4780, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 15:
953 goes into 150 0 times with a remainder of 150.
The number 0 becomes the next digit in our result. 
Result so far: 81960.930745
Subtract 0 from 150 to get 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1500, and continue the process.

On to step 16:
1500 divided by 953 is 1 with a remainder of 547.
Record the quotient 1 as the next digit in the result. 
Result so far: 81960.93074501
Subtract 953 from 1500 to get 547.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5470, and continue the process.

The final result is 81960.93074501 with a remainder of 5.47e-07.