13228 ÷ 37 
We're looking to find how many times 37 goes into 13228.

Moving on to step 1:
When dividing 1 by 37, we get 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 37

Advancing to step 2:
If we divide 13 by 37, we get 0 and a remainder of 13.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 13, we get 13.
Fetch the next digit (2) from the dividend, attach it to 13 and continue: 132 / 37

On to step 3:
37 can be fit into 132 3 times, resulting in a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 3.0
Deduct 111 from 132 and we're left with 21.
Take the next digit (2) from the dividend and append it to 21, then repeat: 212 / 37

Step 4:
37 goes into 212 5 times with a remainder of 27.
The number 5 becomes the next digit in our result. 
Result so far: 35.0
Deduct 185 from 212 and we're left with 27.
Append the next digit (8) from the dividend to 27 and continue with: 278 / 37

Going ahead to step 5:
The number 37 fits into 278 7 times, leaving a remainder of 19.
The next digit of our result is 7. 
Result so far: 357.0
If we subtract 259 from 278, we 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 6:
37 goes into 190 5 times with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 357.5
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.

Moving on to step 7:
50 divided by 37 is 1 with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 357.51
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.

Step 8:
37 can be fit into 130 3 times, resulting in a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 357.513
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.

Let's proceed to step 9:
The number 37 fits into 190 5 times, leaving a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 357.5135
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 10:
If we divide 50 by 37, we get 1 and a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 357.51351
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 11:
When dividing 130 by 37, we get 3 with a remainder of 19.
Record the quotient 3 as the next digit in the result. 
Result so far: 357.513513
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.

Let's proceed to step 12:
When dividing 190 by 37, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 357.5135135
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 13:
50 divided by 37 is 1 with a remainder of 13.
Put 1 as the next digit of the answer. 
Result so far: 357.51351351
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.

The final outcome is 357.51351351, with a leftover of 1.3e-08.