We look at the division of 16026 by 37 
Our goal is to divide 16026 by 37.

On to step 1:
37 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 37

Let's proceed to step 2:
37 goes into 16 0 times with a remainder of 16.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 16 and we're left with 16.
Include the next digit (0) from the dividend after 16, then repeat: 160 / 37

On to step 3:
160 divided by 37 is 4 with a remainder of 12.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 148 from 160 and we're left with 12.
Include the next digit (2) from the dividend after 12, then repeat: 122 / 37

Let's proceed to step 4:
When dividing 122 by 37, we get 3 with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 43.0
If we take 111 away from 122, we end up with 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 37

Let's proceed to step 5:
116 divided by 37 is 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 433.0
Subtract 111 from 116 to 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.

On to step 6:
When dividing 50 by 37, we get 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 433.1
The remainder is 13 after subtracting 37 from 50.
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 7:
130 divided by 37 is 3 with a remainder of 19.
The next digit of our result is 3. 
Result so far: 433.13
Deduct 111 from 130 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 8:
The number 37 fits into 190 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 433.135
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.

On to step 9:
37 goes into 50 1 times with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 433.1351
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.

Going ahead to step 10:
When dividing 130 by 37, we get 3 with a remainder of 19.
The number 3 becomes the next digit in our result. 
Result so far: 433.13513
If we take 111 away from 130, we end up 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.

Going ahead to step 11:
37 can be fit into 190 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 433.135135
Deduct 185 from 190 and we're left 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.

Moving on to step 12:
The number 37 fits into 50 1 times, leaving a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 433.1351351
Subtract 37 from 50 to 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.

Going ahead to step 13:
37 goes into 130 3 times with a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 433.13513513
The remainder is 19 after subtracting 111 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

The final outcome is 433.13513513, with a leftover of 1.9e-08.