40519 ÷ 37 
We want to divide 40519 by 37.

On to step 1:
If we divide 4 by 37, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Bring next digit (0) of the dividend behind the 4 and repeat the process: 40 / 37

On to step 2:
If we divide 40 by 37, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1.0
Deduct 37 from 40 and we're left with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 37

Moving on to step 3:
35 divided by 37 is 0 with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 10.0
The remainder is 35 after subtracting 0 from 35.
Include the next digit (1) from the dividend after 35, then repeat: 351 / 37

Advancing to step 4:
37 can be fit into 351 9 times, resulting in a remainder of 18.
Write down 9 as next digit of the result. 
Result so far: 109.0
Deduct 333 from 351 and we're left with 18.
Take the next digit (9) from the dividend and append it to 18, then repeat: 189 / 37

Advancing to step 5:
If we divide 189 by 37, we get 5 and a remainder of 4.
The next digit of our result is 5. 
Result so far: 1095.0
Deduct 185 from 189 and we're left 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.

Let's proceed to step 6:
If we divide 40 by 37, we get 1 and a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 1095.1
The remainder is 3 after subtracting 37 from 40.
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 7:
If we divide 30 by 37, we get 0 and a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 1095.1
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.

Advancing to step 8:
The number 37 fits into 300 8 times, leaving a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 1095.108
Subtracting 296 from 300 leaves us 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.

Going ahead to step 9:
If we divide 40 by 37, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1095.1081
Subtract 37 from 40 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.

On to step 10:
30 divided by 37 is 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 1095.1081
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.

Advancing to step 11:
When dividing 300 by 37, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 1095.108108
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 12:
If we divide 40 by 37, we get 1 and a remainder of 3.
Write down 1 as next digit of the result. 
Result so far: 1095.1081081
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.

Let's proceed to step 13:
37 can be fit into 30 0 times, resulting in a remainder of 30.
Use 0 as the next digit of our solution. 
Result so far: 1095.1081081
The remainder is 30 after subtracting 0 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 1095.1081081 and a remainder of 3e-08.