77001 divided by 23 
The aim is to understand the frequency of 23 in 77001.

Let's proceed to step 1:
If we divide 7 by 23, we get 0 and a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 23

Let's proceed to step 2:
The number 23 fits into 77 3 times, leaving a remainder of 8.
Use 3 as the next digit of our solution. 
Result so far: 3.0
Deduct 69 from 77 and we're left with 8.
Bring next digit (0) of the dividend behind the 8 and repeat the process: 80 / 23

On to step 3:
When dividing 80 by 23, we get 3 with a remainder of 11.
The next digit of our result is 3. 
Result so far: 33.0
If we subtract 69 from 80, we get 11.
Fetch the next digit (0) from the dividend, attach it to 11 and continue: 110 / 23

Step 4:
23 can be fit into 110 4 times, resulting in a remainder of 18.
The next digit of our result is 4. 
Result so far: 334.0
The remainder is 18 after subtracting 92 from 110.
Grab the next digit (1) from the dividend, add it to 18, then carry on: 181 / 23

Advancing to step 5:
23 goes into 181 7 times with a remainder of 20.
Record the quotient 7 as the next digit in the result. 
Result so far: 3347.0
Deduct 161 from 181 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 6:
23 goes into 200 8 times with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 3347.8
Subtracting 184 from 200 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Going ahead to step 7:
The number 23 fits into 160 6 times, leaving a remainder of 22.
The next digit of our result is 6. 
Result so far: 3347.86
Deduct 138 from 160 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Step 8:
If we divide 220 by 23, we get 9 and a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 3347.869
The remainder is 13 after subtracting 207 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 9:
When dividing 130 by 23, we get 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 3347.8695
The remainder is 15 after subtracting 115 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 10:
23 goes into 150 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 3347.86956
The remainder is 12 after subtracting 138 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 11:
The number 23 fits into 120 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 3347.869565
Subtract 115 from 120 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 12:
23 goes into 50 2 times with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 3347.8695652
Subtracting 46 from 50 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
If we divide 40 by 23, we get 1 and a remainder of 17.
Record the quotient 1 as the next digit in the result. 
Result so far: 3347.86956521
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.

After the division, we end up with 3347.86956521 and a remainder of 1.7e-08.