We look at the division of 1581 by 37 
Let's see how many times 37 fits into 1581.

Advancing 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
If we take 0 away from 1, we end up with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 37

Going ahead to step 2:
If we divide 15 by 37, we get 0 and a remainder of 15.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 37

Let's proceed to step 3:
If we divide 158 by 37, we get 4 and a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 4.0
If we take 148 away from 158, we end up with 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 37

On to step 4:
101 divided by 37 is 2 with a remainder of 27.
Write down 2 as next digit of the result. 
Result so far: 42.0
If we subtract 74 from 101, we get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 5:
37 goes into 270 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 42.7
If we subtract 259 from 270, 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.

Moving on to step 6:
110 divided by 37 is 2 with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 42.72
Subtracting 74 from 110 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 7:
When dividing 360 by 37, we get 9 with a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 42.729
Deduct 333 from 360 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Step 8:
37 can be fit into 270 7 times, resulting in a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 42.7297
Deduct 259 from 270 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 9:
37 goes into 110 2 times with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 42.72972
Subtract 74 from 110 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 10:
37 goes into 360 9 times with a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 42.729729
Deduct 333 from 360 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 11:
When dividing 270 by 37, we get 7 with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 42.7297297
Subtract 259 from 270 to 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.

Going ahead to step 12:
110 divided by 37 is 2 with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 42.72972972
The remainder is 36 after subtracting 74 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The final result is 42.72972972 with a remainder of 3.6e-08.