9185 ÷ 43 
Our goal is to divide 9185 by 43.

Let's proceed to step 1:
43 can be fit into 9 0 times, resulting in a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 43

Advancing to step 2:
43 can be fit into 91 2 times, resulting in a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
If we subtract 86 from 91, we get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 43

Moving on to step 3:
If we divide 58 by 43, we get 1 and a remainder of 15.
Write down 1 as next digit of the result. 
Result so far: 21.0
If we take 43 away from 58, we end up with 15.
Append the next digit (5) from the dividend to 15 and continue with: 155 / 43

Going ahead to step 4:
43 goes into 155 3 times with a remainder of 26.
Put 3 as the next digit of the answer. 
Result so far: 213.0
Deduct 129 from 155 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Going ahead to step 5:
When dividing 260 by 43, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 213.6
Subtracting 258 from 260 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 6:
If we divide 20 by 43, we get 0 and a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 213.6
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
43 can be fit into 200 4 times, resulting in a remainder of 28.
Put 4 as the next digit of the answer. 
Result so far: 213.604
Subtracting 172 from 200 leaves us with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
If we divide 280 by 43, we get 6 and a remainder of 22.
Use 6 as the next digit of our solution. 
Result so far: 213.6046
Deduct 258 from 280 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 9:
The number 43 fits into 220 5 times, leaving a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 213.60465
The remainder is 5 after subtracting 215 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
43 goes into 50 1 times with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 213.604651
Subtracting 43 from 50 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 11:
43 goes into 70 1 times with a remainder of 27.
Write down 1 as next digit of the result. 
Result so far: 213.6046511
If we take 43 away from 70, we end up 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.

Our division results in 213.6046511 with a remaining 2.7e-07.