89222091 ÷ 159 
The aim is to understand the frequency of 159 in 89222091.

Going ahead to step 1:
The number 159 fits into 8 0 times, leaving a remainder of 8.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 159

Step 2:
159 can be fit into 89 0 times, resulting in a remainder of 89.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 89 after subtracting 0 from 89.
Bring next digit (2) of the dividend behind the 89 and repeat the process: 892 / 159

Going ahead to step 3:
892 divided by 159 is 5 with a remainder of 97.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 795 from 892, we get 97.
Grab the next digit (2) from the dividend, add it to 97, then carry on: 972 / 159

On to step 4:
972 divided by 159 is 6 with a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 56.0
If we subtract 954 from 972, we get 18.
Append the next digit (2) from the dividend to 18 and continue with: 182 / 159

Step 5:
182 divided by 159 is 1 with a remainder of 23.
The next digit of our result is 1. 
Result so far: 561.0
Subtract 159 from 182 to get 23.
Append the next digit (0) from the dividend to 23 and continue with: 230 / 159

Going ahead to step 6:
The number 159 fits into 230 1 times, leaving a remainder of 71.
Record the quotient 1 as the next digit in the result. 
Result so far: 5611.0
Subtracting 159 from 230 leaves us with 71.
Append the next digit (9) from the dividend to 71 and continue with: 719 / 159

Moving on to step 7:
When dividing 719 by 159, we get 4 with a remainder of 83.
Record the quotient 4 as the next digit in the result. 
Result so far: 56114.0
If we take 636 away from 719, we end up with 83.
Bring next digit (1) of the dividend behind the 83 and repeat the process: 831 / 159

Step 8:
The number 159 fits into 831 5 times, leaving a remainder of 36.
Use 5 as the next digit of our solution. 
Result so far: 561145.0
Subtracting 795 from 831 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 9:
159 goes into 360 2 times with a remainder of 42.
Use 2 as the next digit of our solution. 
Result so far: 561145.2
If we take 318 away from 360, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 10:
If we divide 420 by 159, we get 2 and a remainder of 102.
Record the quotient 2 as the next digit in the result. 
Result so far: 561145.22
Subtract 318 from 420 to get 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

The quotient of the division is 561145.22, and the remainder is 0.102.