We're dividing 7101557 by 769 
The aim is to understand the frequency of 769 in 7101557.

Moving on to step 1:
7 divided by 769 is 0 with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 769

Advancing to step 2:
71 divided by 769 is 0 with a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 71 after subtracting 0 from 71.
Bring next digit (0) of the dividend behind the 71 and repeat the process: 710 / 769

Going ahead to step 3:
710 divided by 769 is 0 with a remainder of 710.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 710 and we're left with 710.
Fetch the next digit (1) from the dividend, attach it to 710 and continue: 7101 / 769

Going ahead to step 4:
769 can be fit into 7101 9 times, resulting in a remainder of 180.
Write down 9 as next digit of the result. 
Result so far: 9.0
The remainder is 180 after subtracting 6921 from 7101.
Grab the next digit (5) from the dividend, add it to 180, then carry on: 1805 / 769

Moving on to step 5:
769 can be fit into 1805 2 times, resulting in a remainder of 267.
The number 2 becomes the next digit in our result. 
Result so far: 92.0
The remainder is 267 after subtracting 1538 from 1805.
Append the next digit (5) from the dividend to 267 and continue with: 2675 / 769

Let's proceed to step 6:
The number 769 fits into 2675 3 times, leaving a remainder of 368.
The number 3 becomes the next digit in our result. 
Result so far: 923.0
If we take 2307 away from 2675, we end up with 368.
Bring next digit (7) of the dividend behind the 368 and repeat the process: 3687 / 769

Going ahead to step 7:
If we divide 3687 by 769, we get 4 and a remainder of 611.
The next digit of our result is 4. 
Result so far: 9234.0
Deduct 3076 from 3687 and we're left with 611.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6110, and continue the process.

Step 8:
If we divide 6110 by 769, we get 7 and a remainder of 727.
Write down 7 as next digit of the result. 
Result so far: 9234.7
Subtract 5383 from 6110 to get 727.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7270, and continue the process.

Moving on to step 9:
7270 divided by 769 is 9 with a remainder of 349.
Write down 9 as next digit of the result. 
Result so far: 9234.79
Subtract 6921 from 7270 to get 349.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3490, and continue the process.

On to step 10:
When dividing 3490 by 769, we get 4 with a remainder of 414.
The next digit of our result is 4. 
Result so far: 9234.794
If we subtract 3076 from 3490, we get 414.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4140, and continue the process.

Advancing to step 11:
4140 divided by 769 is 5 with a remainder of 295.
The number 5 becomes the next digit in our result. 
Result so far: 9234.7945
Subtract 3845 from 4140 to get 295.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2950, and continue the process.

Moving on to step 12:
769 can be fit into 2950 3 times, resulting in a remainder of 643.
The number 3 becomes the next digit in our result. 
Result so far: 9234.79453
The remainder is 643 after subtracting 2307 from 2950.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6430, and continue the process.

Moving on to step 13:
If we divide 6430 by 769, we get 8 and a remainder of 278.
Put 8 as the next digit of the answer. 
Result so far: 9234.794538
Deduct 6152 from 6430 and we're left with 278.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2780, and continue the process.

Step 14:
769 can be fit into 2780 3 times, resulting in a remainder of 473.
The next digit of our result is 3. 
Result so far: 9234.7945383
If we subtract 2307 from 2780, we get 473.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4730, and continue the process.

Going ahead to step 15:
4730 divided by 769 is 6 with a remainder of 116.
Write down 6 as next digit of the result. 
Result so far: 9234.79453836
If we take 4614 away from 4730, we end up with 116.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1160, and continue the process.

After the division, we end up with 9234.79453836 and a remainder of 1.16e-07.