871980 ÷ 19 
The aim is to understand the frequency of 19 in 871980.

On to step 1:
The number 19 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 8 and we're left with 8.
Grab the next digit (7) from the dividend, add it to 8, then carry on: 87 / 19

Advancing to step 2:
The number 19 fits into 87 4 times, leaving a remainder of 11.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtract 76 from 87 to get 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 19

Advancing to step 3:
When dividing 111 by 19, we get 5 with a remainder of 16.
Use 5 as the next digit of our solution. 
Result so far: 45.0
If we subtract 95 from 111, we get 16.
Grab the next digit (9) from the dividend, add it to 16, then carry on: 169 / 19

Let's proceed to step 4:
If we divide 169 by 19, we get 8 and a remainder of 17.
Record the quotient 8 as the next digit in the result. 
Result so far: 458.0
Subtracting 152 from 169 leaves us with 17.
Include the next digit (8) from the dividend after 17, then repeat: 178 / 19

Advancing to step 5:
The number 19 fits into 178 9 times, leaving a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 4589.0
Subtract 171 from 178 to get 7.
Grab the next digit (0) from the dividend, add it to 7, then carry on: 70 / 19

On to step 6:
When dividing 70 by 19, we get 3 with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 45893.0
Subtract 57 from 70 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
130 divided by 19 is 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 45893.6
If we subtract 114 from 130, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 8:
When dividing 160 by 19, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 45893.68
Subtracting 152 from 160 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 9:
When dividing 80 by 19, we get 4 with a remainder of 4.
The number 4 becomes the next digit in our result. 
Result so far: 45893.684
If we subtract 76 from 80, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
19 goes into 40 2 times with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 45893.6842
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 11:
If we divide 20 by 19, we get 1 and a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 45893.68421
If we take 19 away from 20, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 12:
19 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 45893.68421
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
When dividing 100 by 19, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 45893.6842105
Deduct 95 from 100 and we're left with 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 14:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 45893.68421052
Subtract 38 from 50 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 45893.68421052 with a remaining 1.2e-08.