688401 ÷ 38 
The aim is to understand the frequency of 38 in 688401.

Moving on to step 1:
38 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 38

Moving on to step 2:
38 goes into 68 1 times with a remainder of 30.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 38 from 68 to get 30.
Include the next digit (8) from the dividend after 30, then repeat: 308 / 38

Going ahead to step 3:
38 goes into 308 8 times with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 18.0
If we take 304 away from 308, we end up with 4.
Take the next digit (4) from the dividend and append it to 4, then repeat: 44 / 38

Step 4:
The number 38 fits into 44 1 times, leaving a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 181.0
Subtract 38 from 44 to get 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 38

Advancing to step 5:
60 divided by 38 is 1 with a remainder of 22.
Put 1 as the next digit of the answer. 
Result so far: 1811.0
If we subtract 38 from 60, we get 22.
Grab the next digit (1) from the dividend, add it to 22, then carry on: 221 / 38

Advancing to step 6:
If we divide 221 by 38, we get 5 and a remainder of 31.
Use 5 as the next digit of our solution. 
Result so far: 18115.0
Subtracting 190 from 221 leaves us with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 7:
38 goes into 310 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 18115.8
If we subtract 304 from 310, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 8:
60 divided by 38 is 1 with a remainder of 22.
Write down 1 as next digit of the result. 
Result so far: 18115.81
If we take 38 away from 60, we end up 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 9:
The number 38 fits into 220 5 times, leaving a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 18115.815
The remainder is 30 after subtracting 190 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 10:
The number 38 fits into 300 7 times, leaving a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 18115.8157
If we take 266 away from 300, we end up with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Going ahead to step 11:
When dividing 340 by 38, we get 8 with a remainder of 36.
The next digit of our result is 8. 
Result so far: 18115.81578
If we subtract 304 from 340, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 12:
The number 38 fits into 360 9 times, leaving a remainder of 18.
Put 9 as the next digit of the answer. 
Result so far: 18115.815789
Deduct 342 from 360 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 13:
When dividing 180 by 38, we get 4 with a remainder of 28.
Use 4 as the next digit of our solution. 
Result so far: 18115.8157894
Subtracting 152 from 180 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 14:
When dividing 280 by 38, we get 7 with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 18115.81578947
Subtract 266 from 280 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The quotient of the division is 18115.81578947, and the remainder is 1.4e-08.