81697 ÷ 37 
The aim is to understand the frequency of 37 in 81697.

Let's proceed to step 1:
The number 37 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Bring next digit (1) of the dividend behind the 8 and repeat the process: 81 / 37

Advancing to step 2:
37 goes into 81 2 times with a remainder of 7.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 74 from 81 and we're left with 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 37

On to step 3:
The number 37 fits into 76 2 times, leaving a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 22.0
If we subtract 74 from 76, we get 2.
Take the next digit (9) from the dividend and append it to 2, then repeat: 29 / 37

On to step 4:
37 goes into 29 0 times with a remainder of 29.
Use 0 as the next digit of our solution. 
Result so far: 220.0
Deduct 0 from 29 and we're left with 29.
Fetch the next digit (7) from the dividend, attach it to 29 and continue: 297 / 37

On to step 5:
37 can be fit into 297 8 times, resulting in a remainder of 1.
Put 8 as the next digit of the answer. 
Result so far: 2208.0
If we take 296 away from 297, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 6:
37 goes into 10 0 times with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 2208.0
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 7:
37 can be fit into 100 2 times, resulting in a remainder of 26.
The number 2 becomes the next digit in our result. 
Result so far: 2208.02
If we subtract 74 from 100, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 8:
260 divided by 37 is 7 with a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 2208.027
If we take 259 away from 260, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 9:
37 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 2208.027
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 10:
When dividing 100 by 37, we get 2 with a remainder of 26.
Use 2 as the next digit of our solution. 
Result so far: 2208.02702
Subtracting 74 from 100 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Advancing to step 11:
If we divide 260 by 37, we get 7 and a remainder of 1.
The next digit of our result is 7. 
Result so far: 2208.027027
Subtracting 259 from 260 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 12:
10 divided by 37 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 2208.027027
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
The number 37 fits into 100 2 times, leaving a remainder of 26.
Put 2 as the next digit of the answer. 
Result so far: 2208.02702702
Deduct 74 from 100 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 2208.02702702, and the remainder is 2.6e-08.