9181 ÷ 37 
Let's see how many times 37 fits into 9181.

Going ahead to step 1:
When dividing 9 by 37, we get 0 with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Take the next digit (1) from the dividend and append it to 9, then repeat: 91 / 37

Let's proceed to step 2:
91 divided by 37 is 2 with a remainder of 17.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 74 away from 91, we end up with 17.
Append the next digit (8) from the dividend to 17 and continue with: 178 / 37

Advancing to step 3:
If we divide 178 by 37, we get 4 and a remainder of 30.
Record the quotient 4 as the next digit in the result. 
Result so far: 24.0
Subtracting 148 from 178 leaves us with 30.
Grab the next digit (1) from the dividend, add it to 30, then carry on: 301 / 37

Moving on to step 4:
37 goes into 301 8 times with a remainder of 5.
The number 8 becomes the next digit in our result. 
Result so far: 248.0
Subtract 296 from 301 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.

Advancing to step 5:
The number 37 fits into 50 1 times, leaving a remainder of 13.
The next digit of our result is 1. 
Result so far: 248.1
If we take 37 away from 50, we end up 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.

Advancing to step 6:
The number 37 fits into 130 3 times, leaving a remainder of 19.
Write down 3 as next digit of the result. 
Result so far: 248.13
If we subtract 111 from 130, 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.

Advancing to step 7:
190 divided by 37 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 248.135
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.

On to step 8:
37 goes into 50 1 times with a remainder of 13.
Write down 1 as next digit of the result. 
Result so far: 248.1351
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.

Let's proceed to step 9:
130 divided by 37 is 3 with a remainder of 19.
The next digit of our result is 3. 
Result so far: 248.13513
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.

Let's proceed to step 10:
The number 37 fits into 190 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 248.135135
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.

Let's proceed to step 11:
50 divided by 37 is 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 248.1351351
If we take 37 away from 50, we end up 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.

Moving on to step 12:
When dividing 130 by 37, we get 3 with a remainder of 19.
Use 3 as the next digit of our solution. 
Result so far: 248.13513513
If we subtract 111 from 130, 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.

Our division results in 248.13513513 with a remaining 1.9e-08.