We're dividing 137624 by 23 
The aim is to understand the frequency of 23 in 137624.

On to step 1:
23 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 23

On to step 2:
23 can be fit into 13 0 times, resulting in a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 13 and we're left with 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 23

Moving on to step 3:
23 can be fit into 137 5 times, resulting in a remainder of 22.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 115 away from 137, we end up with 22.
Bring next digit (6) of the dividend behind the 22 and repeat the process: 226 / 23

Moving on to step 4:
When dividing 226 by 23, we get 9 with a remainder of 19.
Use 9 as the next digit of our solution. 
Result so far: 59.0
Deduct 207 from 226 and we're left with 19.
Append the next digit (2) from the dividend to 19 and continue with: 192 / 23

On to step 5:
If we divide 192 by 23, we get 8 and a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 598.0
Deduct 184 from 192 and we're left with 8.
Grab the next digit (4) from the dividend, add it to 8, then carry on: 84 / 23

Let's proceed to step 6:
23 goes into 84 3 times with a remainder of 15.
The number 3 becomes the next digit in our result. 
Result so far: 5983.0
Deduct 69 from 84 and we're left 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.

Advancing to step 7:
When dividing 150 by 23, we get 6 with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 5983.6
Subtract 138 from 150 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
The number 23 fits into 120 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 5983.65
Deduct 115 from 120 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 9:
The number 23 fits into 50 2 times, leaving a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 5983.652
Subtract 46 from 50 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 10:
When dividing 40 by 23, we get 1 with a remainder of 17.
Write down 1 as next digit of the result. 
Result so far: 5983.6521
Deduct 23 from 40 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 11:
When dividing 170 by 23, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 5983.65217
Subtracting 161 from 170 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 12:
If we divide 90 by 23, we get 3 and a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 5983.652173
Subtract 69 from 90 to get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 13:
23 can be fit into 210 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 5983.6521739
The remainder is 3 after subtracting 207 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 14:
The number 23 fits into 30 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 5983.65217391
Deduct 23 from 30 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Our division results in 5983.65217391 with a remaining 7e-09.