75698153 ÷ 638 
The aim is to understand the frequency of 638 in 75698153.

Let's proceed to step 1:
638 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 638

Going ahead to step 2:
The number 638 fits into 75 0 times, leaving a remainder of 75.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 75 after subtracting 0 from 75.
Bring next digit (6) of the dividend behind the 75 and repeat the process: 756 / 638

Moving on to step 3:
The number 638 fits into 756 1 times, leaving a remainder of 118.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 638 from 756 leaves us with 118.
Bring next digit (9) of the dividend behind the 118 and repeat the process: 1189 / 638

On to step 4:
The number 638 fits into 1189 1 times, leaving a remainder of 551.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 551 after subtracting 638 from 1189.
Take the next digit (8) from the dividend and append it to 551, then repeat: 5518 / 638

Let's proceed to step 5:
638 goes into 5518 8 times with a remainder of 414.
Put 8 as the next digit of the answer. 
Result so far: 118.0
If we subtract 5104 from 5518, we get 414.
Fetch the next digit (1) from the dividend, attach it to 414 and continue: 4141 / 638

Step 6:
If we divide 4141 by 638, we get 6 and a remainder of 313.
The number 6 becomes the next digit in our result. 
Result so far: 1186.0
If we subtract 3828 from 4141, we get 313.
Append the next digit (5) from the dividend to 313 and continue with: 3135 / 638

Going ahead to step 7:
If we divide 3135 by 638, we get 4 and a remainder of 583.
The next digit of our result is 4. 
Result so far: 11864.0
Subtract 2552 from 3135 to get 583.
Take the next digit (3) from the dividend and append it to 583, then repeat: 5833 / 638

Let's proceed to step 8:
5833 divided by 638 is 9 with a remainder of 91.
Use 9 as the next digit of our solution. 
Result so far: 118649.0
If we take 5742 away from 5833, we end up with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

On to step 9:
When dividing 910 by 638, we get 1 with a remainder of 272.
Use 1 as the next digit of our solution. 
Result so far: 118649.1
Subtracting 638 from 910 leaves us with 272.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2720, and continue the process.

Moving on to step 10:
The number 638 fits into 2720 4 times, leaving a remainder of 168.
Record the quotient 4 as the next digit in the result. 
Result so far: 118649.14
If we take 2552 away from 2720, we end up with 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Let's proceed to step 11:
When dividing 1680 by 638, we get 2 with a remainder of 404.
The next digit of our result is 2. 
Result so far: 118649.142
If we take 1276 away from 1680, we end up with 404.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4040, and continue the process.

Going ahead to step 12:
The number 638 fits into 4040 6 times, leaving a remainder of 212.
Record the quotient 6 as the next digit in the result. 
Result so far: 118649.1426
If we take 3828 away from 4040, we end up with 212.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2120, and continue the process.

Advancing to step 13:
The number 638 fits into 2120 3 times, leaving a remainder of 206.
Write down 3 as next digit of the result. 
Result so far: 118649.14263
If we take 1914 away from 2120, we end up with 206.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2060, and continue the process.

On to step 14:
638 can be fit into 2060 3 times, resulting in a remainder of 146.
The number 3 becomes the next digit in our result. 
Result so far: 118649.142633
Deduct 1914 from 2060 and we're left with 146.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1460, and continue the process.

The final result is 118649.142633 with a remainder of 1.46e-05.