31361 divided by 89 
The aim is to understand the frequency of 89 in 31361.

Step 1:
If we divide 3 by 89, we get 0 and a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 89

Let's proceed to step 2:
When dividing 31 by 89, we get 0 with a remainder of 31.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 31, we get 31.
Fetch the next digit (3) from the dividend, attach it to 31 and continue: 313 / 89

Advancing to step 3:
If we divide 313 by 89, we get 3 and a remainder of 46.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 267 from 313 and we're left with 46.
Bring next digit (6) of the dividend behind the 46 and repeat the process: 466 / 89

Advancing to step 4:
89 goes into 466 5 times with a remainder of 21.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
If we take 445 away from 466, we end up with 21.
Grab the next digit (1) from the dividend, add it to 21, then carry on: 211 / 89

On to step 5:
When dividing 211 by 89, we get 2 with a remainder of 33.
Put 2 as the next digit of the answer. 
Result so far: 352.0
If we take 178 away from 211, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 6:
89 can be fit into 330 3 times, resulting in a remainder of 63.
The number 3 becomes the next digit in our result. 
Result so far: 352.3
If we subtract 267 from 330, we get 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Let's proceed to step 7:
The number 89 fits into 630 7 times, leaving a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 352.37
Subtract 623 from 630 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 8:
When dividing 70 by 89, we get 0 with a remainder of 70.
The next digit of our result is 0. 
Result so far: 352.37
The remainder is 70 after subtracting 0 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 9:
If we divide 700 by 89, we get 7 and a remainder of 77.
Put 7 as the next digit of the answer. 
Result so far: 352.3707
If we take 623 away from 700, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 10:
When dividing 770 by 89, we get 8 with a remainder of 58.
Put 8 as the next digit of the answer. 
Result so far: 352.37078
Subtracting 712 from 770 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 11:
If we divide 580 by 89, we get 6 and a remainder of 46.
Use 6 as the next digit of our solution. 
Result so far: 352.370786
Deduct 534 from 580 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 12:
The number 89 fits into 460 5 times, leaving a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 352.3707865
Subtracting 445 from 460 leaves us 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.

Step 13:
When dividing 150 by 89, we get 1 with a remainder of 61.
Record the quotient 1 as the next digit in the result. 
Result so far: 352.37078651
If we take 89 away from 150, we end up with 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

The final outcome is 352.37078651, with a leftover of 6.1e-08.