We're dividing 637121 by 19 
We're looking to find how many times 19 goes into 637121.

Let's proceed to step 1:
The number 19 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 19

Moving on to step 2:
19 can be fit into 63 3 times, resulting in a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 57 from 63 and we're left with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 19

Let's proceed to step 3:
If we divide 67 by 19, we get 3 and a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
Subtracting 57 from 67 leaves us with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 19

On to step 4:
101 divided by 19 is 5 with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 335.0
Deduct 95 from 101 and we're left with 6.
Grab the next digit (2) from the dividend, add it to 6, then carry on: 62 / 19

Moving on to step 5:
19 can be fit into 62 3 times, resulting in a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 3353.0
Deduct 57 from 62 and we're left with 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 19

On to step 6:
If we divide 51 by 19, we get 2 and a remainder of 13.
Record the quotient 2 as the next digit in the result. 
Result so far: 33532.0
The remainder is 13 after subtracting 38 from 51.
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:
If we divide 130 by 19, we get 6 and a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 33532.6
Subtract 114 from 130 to 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.

Step 8:
When dividing 160 by 19, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 33532.68
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.

Moving on to step 9:
19 goes into 80 4 times with a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 33532.684
Subtract 76 from 80 to 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.

Let's proceed to step 10:
When dividing 40 by 19, we get 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 33532.6842
The remainder is 2 after subtracting 38 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 11:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 33532.68421
If we subtract 19 from 20, we get 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 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 33532.68421
If we subtract 0 from 10, we get 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:
100 divided by 19 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 33532.6842105
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.

Moving on to step 14:
If we divide 50 by 19, we get 2 and a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 33532.68421052
Subtracting 38 from 50 leaves us with 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 33532.68421052 with a remaining 1.2e-08.