87160 ÷ 35 
The aim is to understand the frequency of 35 in 87160.

Advancing to step 1:
The number 35 fits into 8 0 times, leaving a remainder of 8.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 35

Advancing to step 2:
When dividing 87 by 35, we get 2 with a remainder of 17.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 70 from 87 and we're left with 17.
Fetch the next digit (1) from the dividend, attach it to 17 and continue: 171 / 35

Advancing to step 3:
When dividing 171 by 35, we get 4 with a remainder of 31.
The number 4 becomes the next digit in our result. 
Result so far: 24.0
The remainder is 31 after subtracting 140 from 171.
Take the next digit (6) from the dividend and append it to 31, then repeat: 316 / 35

Moving on to step 4:
If we divide 316 by 35, we get 9 and a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 249.0
Subtracting 315 from 316 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 35

Moving on to step 5:
The number 35 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 2490.0
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.

Going ahead to step 6:
The number 35 fits into 100 2 times, leaving a remainder of 30.
The next digit of our result is 2. 
Result so far: 2490.2
If we subtract 70 from 100, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 7:
35 goes into 300 8 times with a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 2490.28
The remainder is 20 after subtracting 280 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 8:
35 goes into 200 5 times with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 2490.285
If we take 175 away from 200, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 9:
35 can be fit into 250 7 times, resulting in a remainder of 5.
The number 7 becomes the next digit in our result. 
Result so far: 2490.2857
The remainder is 5 after subtracting 245 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 10:
35 can be fit into 50 1 times, resulting in a remainder of 15.
Use 1 as the next digit of our solution. 
Result so far: 2490.28571
If we take 35 away from 50, 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.

Let's proceed to step 11:
If we divide 150 by 35, we get 4 and a remainder of 10.
Put 4 as the next digit of the answer. 
Result so far: 2490.285714
If we take 140 away from 150, 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.

Step 12:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 2490.2857142
Subtracting 70 from 100 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 13:
35 can be fit into 300 8 times, resulting in a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 2490.28571428
If we subtract 280 from 300, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

The quotient of the division is 2490.28571428, and the remainder is 2e-08.