We're dividing 37301 by 19 
Our goal is to divide 37301 by 19.

Let's proceed to step 1:
19 goes into 3 0 times with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 19

Moving on to step 2:
19 can be fit into 37 1 times, resulting in a remainder of 18.
The next digit of our result is 1. 
Result so far: 1.0
If we take 19 away from 37, we end up with 18.
Include the next digit (3) from the dividend after 18, then repeat: 183 / 19

Going ahead to step 3:
If we divide 183 by 19, we get 9 and a remainder of 12.
Put 9 as the next digit of the answer. 
Result so far: 19.0
The remainder is 12 after subtracting 171 from 183.
Append the next digit (0) from the dividend to 12 and continue with: 120 / 19

Going ahead to step 4:
When dividing 120 by 19, we get 6 with a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 196.0
The remainder is 6 after subtracting 114 from 120.
Bring next digit (1) of the dividend behind the 6 and repeat the process: 61 / 19

On to step 5:
If we divide 61 by 19, we get 3 and a remainder of 4.
The next digit of our result is 3. 
Result so far: 1963.0
Subtract 57 from 61 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 6:
19 goes into 40 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 1963.2
Deduct 38 from 40 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
19 can be fit into 20 1 times, resulting in a remainder of 1.
The next digit of our result is 1. 
Result so far: 1963.21
The remainder is 1 after subtracting 19 from 20.
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 8:
19 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 1963.21
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 9:
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: 1963.2105
Subtracting 95 from 100 leaves us 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 10:
19 can be fit into 50 2 times, resulting in a remainder of 12.
The next digit of our result is 2. 
Result so far: 1963.21052
Deduct 38 from 50 and we're left 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.

Advancing to step 11:
When dividing 120 by 19, we get 6 with a remainder of 6.
The next digit of our result is 6. 
Result so far: 1963.210526
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 12:
If we divide 60 by 19, we get 3 and a remainder of 3.
Use 3 as the next digit of our solution. 
Result so far: 1963.2105263
Subtract 57 from 60 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 13:
The number 19 fits into 30 1 times, leaving a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 1963.21052631
If we subtract 19 from 30, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

In conclusion, the division gives 1963.21052631 with a balance of 1.1e-08.