19307 ÷ 37 
We want to figure out the number of times 19307 can be divided by 37.

Going ahead to step 1:
If we divide 1 by 37, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 37

Advancing to step 2:
The number 37 fits into 19 0 times, leaving a remainder of 19.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 19 leaves us with 19.
Bring next digit (3) of the dividend behind the 19 and repeat the process: 193 / 37

Step 3:
37 can be fit into 193 5 times, resulting in a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtract 185 from 193 to get 8.
Append the next digit (0) from the dividend to 8 and continue with: 80 / 37

On to step 4:
37 can be fit into 80 2 times, resulting in a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 52.0
Subtracting 74 from 80 leaves us with 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 37

Going ahead to step 5:
37 goes into 67 1 times with a remainder of 30.
Record the quotient 1 as the next digit in the result. 
Result so far: 521.0
If we take 37 away from 67, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 6:
37 can be fit into 300 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 521.8
Subtract 296 from 300 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.

Step 7:
The number 37 fits into 40 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 521.81
Subtracting 37 from 40 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
30 divided by 37 is 0 with a remainder of 30.
The next digit of our result is 0. 
Result so far: 521.81
If we subtract 0 from 30, we 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.

Going ahead to step 9:
37 can be fit into 300 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 521.8108
If we take 296 away from 300, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 10:
The number 37 fits into 40 1 times, leaving a remainder of 3.
The next digit of our result is 1. 
Result so far: 521.81081
If we take 37 away from 40, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 11:
If we divide 30 by 37, we get 0 and a remainder of 30.
The next digit of our result is 0. 
Result so far: 521.81081
Deduct 0 from 30 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
The number 37 fits into 300 8 times, leaving a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 521.8108108
If we subtract 296 from 300, 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 13:
The number 37 fits into 40 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 521.81081081
Deduct 37 from 40 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

In conclusion, the division gives 521.81081081 with a balance of 3e-09.