We're dividing 19125509 by 138 
The aim is to understand the frequency of 138 in 19125509.

On to step 1:
When dividing 1 by 138, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 138

Let's proceed to step 2:
When dividing 19 by 138, we get 0 with a remainder of 19.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 19 to get 19.
Include the next digit (1) from the dividend after 19, then repeat: 191 / 138

Moving on to step 3:
191 divided by 138 is 1 with a remainder of 53.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 138 from 191 and we're left with 53.
Grab the next digit (2) from the dividend, add it to 53, then carry on: 532 / 138

Going ahead to step 4:
138 goes into 532 3 times with a remainder of 118.
Put 3 as the next digit of the answer. 
Result so far: 13.0
If we take 414 away from 532, we end up with 118.
Bring next digit (5) of the dividend behind the 118 and repeat the process: 1185 / 138

On to step 5:
1185 divided by 138 is 8 with a remainder of 81.
Record the quotient 8 as the next digit in the result. 
Result so far: 138.0
Deduct 1104 from 1185 and we're left with 81.
Fetch the next digit (5) from the dividend, attach it to 81 and continue: 815 / 138

Going ahead to step 6:
When dividing 815 by 138, we get 5 with a remainder of 125.
Write down 5 as next digit of the result. 
Result so far: 1385.0
The remainder is 125 after subtracting 690 from 815.
Bring next digit (0) of the dividend behind the 125 and repeat the process: 1250 / 138

Let's proceed to step 7:
When dividing 1250 by 138, we get 9 with a remainder of 8.
The next digit of our result is 9. 
Result so far: 13859.0
Subtract 1242 from 1250 to get 8.
Bring next digit (9) of the dividend behind the 8 and repeat the process: 89 / 138

Let's proceed to step 8:
The number 138 fits into 89 0 times, leaving a remainder of 89.
Record the quotient 0 as the next digit in the result. 
Result so far: 138590.0
If we take 0 away from 89, we end up with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Advancing to step 9:
When dividing 890 by 138, we get 6 with a remainder of 62.
The next digit of our result is 6. 
Result so far: 138590.6
If we subtract 828 from 890, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 10:
138 goes into 620 4 times with a remainder of 68.
Record the quotient 4 as the next digit in the result. 
Result so far: 138590.64
If we take 552 away from 620, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 11:
680 divided by 138 is 4 with a remainder of 128.
Record the quotient 4 as the next digit in the result. 
Result so far: 138590.644
Subtracting 552 from 680 leaves us with 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1280, and continue the process.

The quotient of the division is 138590.644, and the remainder is 0.0128.