We look at the division of 131554 by 37 
Our goal is to divide 131554 by 37.

Advancing to step 1:
The number 37 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 37

Moving on to step 2:
The number 37 fits into 13 0 times, leaving a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Include the next digit (1) from the dividend after 13, then repeat: 131 / 37

Advancing to step 3:
37 can be fit into 131 3 times, resulting in a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 111 from 131 to get 20.
Append the next digit (5) from the dividend to 20 and continue with: 205 / 37

Let's proceed to step 4:
205 divided by 37 is 5 with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 35.0
The remainder is 20 after subtracting 185 from 205.
Bring next digit (5) of the dividend behind the 20 and repeat the process: 205 / 37

Moving on to step 5:
When dividing 205 by 37, we get 5 with a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 355.0
Deduct 185 from 205 and we're left with 20.
Grab the next digit (4) from the dividend, add it to 20, then carry on: 204 / 37

On to step 6:
37 can be fit into 204 5 times, resulting in a remainder of 19.
The next digit of our result is 5. 
Result so far: 3555.0
Deduct 185 from 204 and we're left with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
37 goes into 190 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 3555.5
If we subtract 185 from 190, we get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
37 can be fit into 50 1 times, resulting in a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 3555.51
Deduct 37 from 50 and we're left with 13.
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 9:
The number 37 fits into 130 3 times, leaving a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 3555.513
Subtract 111 from 130 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 10:
190 divided by 37 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 3555.5135
The remainder is 5 after subtracting 185 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 11:
50 divided by 37 is 1 with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 3555.51351
If we subtract 37 from 50, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 12:
37 goes into 130 3 times with a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 3555.513513
Subtract 111 from 130 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Moving on to step 13:
190 divided by 37 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 3555.5135135
Subtracting 185 from 190 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.

Advancing to step 14:
37 goes into 50 1 times with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 3555.51351351
Subtracting 37 from 50 leaves us with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

After the division, we end up with 3555.51351351 and a remainder of 1.3e-08.