37225 ÷ 43 
Our goal is to divide 37225 by 43.

On to step 1:
When dividing 3 by 43, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Include the next digit (7) from the dividend after 3, then repeat: 37 / 43

Advancing to step 2:
If we divide 37 by 43, we get 0 and a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 37 to get 37.
Take the next digit (2) from the dividend and append it to 37, then repeat: 372 / 43

Going ahead to step 3:
When dividing 372 by 43, we get 8 with a remainder of 28.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtracting 344 from 372 leaves us with 28.
Append the next digit (2) from the dividend to 28 and continue with: 282 / 43

Moving on to step 4:
The number 43 fits into 282 6 times, leaving a remainder of 24.
Put 6 as the next digit of the answer. 
Result so far: 86.0
The remainder is 24 after subtracting 258 from 282.
Include the next digit (5) from the dividend after 24, then repeat: 245 / 43

Moving on to step 5:
When dividing 245 by 43, we get 5 with a remainder of 30.
The next digit of our result is 5. 
Result so far: 865.0
The remainder is 30 after subtracting 215 from 245.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 6:
43 goes into 300 6 times with a remainder of 42.
The number 6 becomes the next digit in our result. 
Result so far: 865.6
Subtract 258 from 300 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 7:
43 can be fit into 420 9 times, resulting in a remainder of 33.
Use 9 as the next digit of our solution. 
Result so far: 865.69
Subtracting 387 from 420 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 8:
330 divided by 43 is 7 with a remainder of 29.
The number 7 becomes the next digit in our result. 
Result so far: 865.697
Subtract 301 from 330 to get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 9:
43 goes into 290 6 times with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 865.6976
Subtract 258 from 290 to get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 10:
43 goes into 320 7 times with a remainder of 19.
The next digit of our result is 7. 
Result so far: 865.69767
Deduct 301 from 320 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.

Moving on to step 11:
190 divided by 43 is 4 with a remainder of 18.
Write down 4 as next digit of the result. 
Result so far: 865.697674
The remainder is 18 after subtracting 172 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 12:
The number 43 fits into 180 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 865.6976744
If we take 172 away from 180, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

After the division, we end up with 865.6976744 and a remainder of 8e-08.