We look at the division of 9171872 by 697 
The aim is to understand the frequency of 697 in 9171872.

Step 1:
When dividing 9 by 697, we get 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 697

Moving on to step 2:
If we divide 91 by 697, we get 0 and a remainder of 91.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 91 after subtracting 0 from 91.
Grab the next digit (7) from the dividend, add it to 91, then carry on: 917 / 697

On to step 3:
If we divide 917 by 697, we get 1 and a remainder of 220.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 697 from 917, we get 220.
Take the next digit (1) from the dividend and append it to 220, then repeat: 2201 / 697

Moving on to step 4:
697 can be fit into 2201 3 times, resulting in a remainder of 110.
Write down 3 as next digit of the result. 
Result so far: 13.0
Subtracting 2091 from 2201 leaves us with 110.
Append the next digit (8) from the dividend to 110 and continue with: 1108 / 697

Step 5:
1108 divided by 697 is 1 with a remainder of 411.
Put 1 as the next digit of the answer. 
Result so far: 131.0
Deduct 697 from 1108 and we're left with 411.
Fetch the next digit (7) from the dividend, attach it to 411 and continue: 4117 / 697

Going ahead to step 6:
4117 divided by 697 is 5 with a remainder of 632.
Put 5 as the next digit of the answer. 
Result so far: 1315.0
Subtracting 3485 from 4117 leaves us with 632.
Take the next digit (2) from the dividend and append it to 632, then repeat: 6322 / 697

Step 7:
6322 divided by 697 is 9 with a remainder of 49.
The number 9 becomes the next digit in our result. 
Result so far: 13159.0
If we take 6273 away from 6322, we end up with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

On to step 8:
697 goes into 490 0 times with a remainder of 490.
The next digit of our result is 0. 
Result so far: 13159.0
Deduct 0 from 490 and we're left with 490.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4900, and continue the process.

Let's proceed to step 9:
When dividing 4900 by 697, we get 7 with a remainder of 21.
Use 7 as the next digit of our solution. 
Result so far: 13159.07
Subtracting 4879 from 4900 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 10:
If we divide 210 by 697, we get 0 and a remainder of 210.
Record the quotient 0 as the next digit in the result. 
Result so far: 13159.07
If we take 0 away from 210, we end up with 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2100, and continue the process.

On to step 11:
697 goes into 2100 3 times with a remainder of 9.
Write down 3 as next digit of the result. 
Result so far: 13159.0703
Subtract 2091 from 2100 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 12:
If we divide 90 by 697, we get 0 and a remainder of 90.
Record the quotient 0 as the next digit in the result. 
Result so far: 13159.0703
If we subtract 0 from 90, we get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Let's proceed to step 13:
The number 697 fits into 900 1 times, leaving a remainder of 203.
Write down 1 as next digit of the result. 
Result so far: 13159.070301
If we subtract 697 from 900, we get 203.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2030, and continue the process.

Step 14:
697 goes into 2030 2 times with a remainder of 636.
Record the quotient 2 as the next digit in the result. 
Result so far: 13159.0703012
Deduct 1394 from 2030 and we're left with 636.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6360, and continue the process.

Step 15:
6360 divided by 697 is 9 with a remainder of 87.
Put 9 as the next digit of the answer. 
Result so far: 13159.07030129
Subtracting 6273 from 6360 leaves us with 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

The final result is 13159.07030129 with a remainder of 8.7e-08.