53785107 ÷ 138 
The aim is to understand the frequency of 138 in 53785107.

Step 1:
5 divided by 138 is 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (3) from the dividend and append it to 5, then repeat: 53 / 138

Going ahead to step 2:
53 divided by 138 is 0 with a remainder of 53.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 53, we end up with 53.
Grab the next digit (7) from the dividend, add it to 53, then carry on: 537 / 138

Going ahead to step 3:
537 divided by 138 is 3 with a remainder of 123.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
If we take 414 away from 537, we end up with 123.
Bring next digit (8) of the dividend behind the 123 and repeat the process: 1238 / 138

Going ahead to step 4:
138 can be fit into 1238 8 times, resulting in a remainder of 134.
Write down 8 as next digit of the result. 
Result so far: 38.0
The remainder is 134 after subtracting 1104 from 1238.
Include the next digit (5) from the dividend after 134, then repeat: 1345 / 138

Moving on to step 5:
138 can be fit into 1345 9 times, resulting in a remainder of 103.
The number 9 becomes the next digit in our result. 
Result so far: 389.0
If we subtract 1242 from 1345, we get 103.
Bring next digit (1) of the dividend behind the 103 and repeat the process: 1031 / 138

Advancing to step 6:
If we divide 1031 by 138, we get 7 and a remainder of 65.
Put 7 as the next digit of the answer. 
Result so far: 3897.0
Deduct 966 from 1031 and we're left with 65.
Take the next digit (0) from the dividend and append it to 65, then repeat: 650 / 138

Step 7:
650 divided by 138 is 4 with a remainder of 98.
Use 4 as the next digit of our solution. 
Result so far: 38974.0
If we subtract 552 from 650, we get 98.
Take the next digit (7) from the dividend and append it to 98, then repeat: 987 / 138

On to step 8:
The number 138 fits into 987 7 times, leaving a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 389747.0
The remainder is 21 after subtracting 966 from 987.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
138 goes into 210 1 times with a remainder of 72.
Put 1 as the next digit of the answer. 
Result so far: 389747.1
The remainder is 72 after subtracting 138 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 10:
138 goes into 720 5 times with a remainder of 30.
The next digit of our result is 5. 
Result so far: 389747.15
Subtract 690 from 720 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
If we divide 300 by 138, we get 2 and a remainder of 24.
Use 2 as the next digit of our solution. 
Result so far: 389747.152
Subtract 276 from 300 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 12:
When dividing 240 by 138, we get 1 with a remainder of 102.
The next digit of our result is 1. 
Result so far: 389747.1521
If we take 138 away from 240, we end up with 102.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1020, and continue the process.

Advancing to step 13:
The number 138 fits into 1020 7 times, leaving a remainder of 54.
The number 7 becomes the next digit in our result. 
Result so far: 389747.15217
Deduct 966 from 1020 and we're left with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 14:
If we divide 540 by 138, we get 3 and a remainder of 126.
The number 3 becomes the next digit in our result. 
Result so far: 389747.152173
Subtract 414 from 540 to get 126.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1260, and continue the process.

Moving on to step 15:
138 goes into 1260 9 times with a remainder of 18.
The next digit of our result is 9. 
Result so far: 389747.1521739
Deduct 1242 from 1260 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 16:
If we divide 180 by 138, we get 1 and a remainder of 42.
The number 1 becomes the next digit in our result. 
Result so far: 389747.15217391
The remainder is 42 after subtracting 138 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The quotient of the division is 389747.15217391, and the remainder is 4.2e-08.