5541 divided by 31 
We want to figure out the number of times 5541 can be divided by 31.

On to step 1:
31 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Include the next digit (5) from the dividend after 5, then repeat: 55 / 31

Moving on to step 2:
55 divided by 31 is 1 with a remainder of 24.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we subtract 31 from 55, we get 24.
Fetch the next digit (4) from the dividend, attach it to 24 and continue: 244 / 31

On to step 3:
244 divided by 31 is 7 with a remainder of 27.
The next digit of our result is 7. 
Result so far: 17.0
If we take 217 away from 244, we end up with 27.
Append the next digit (1) from the dividend to 27 and continue with: 271 / 31

Step 4:
31 can be fit into 271 8 times, resulting in a remainder of 23.
Write down 8 as next digit of the result. 
Result so far: 178.0
The remainder is 23 after subtracting 248 from 271.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 5:
If we divide 230 by 31, we get 7 and a remainder of 13.
Use 7 as the next digit of our solution. 
Result so far: 178.7
Deduct 217 from 230 and we're left 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.

Going ahead to step 6:
31 can be fit into 130 4 times, resulting in a remainder of 6.
The next digit of our result is 4. 
Result so far: 178.74
Subtracting 124 from 130 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
If we divide 60 by 31, we get 1 and a remainder of 29.
The next digit of our result is 1. 
Result so far: 178.741
Deduct 31 from 60 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 8:
31 goes into 290 9 times with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 178.7419
Deduct 279 from 290 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 9:
The number 31 fits into 110 3 times, leaving a remainder of 17.
The next digit of our result is 3. 
Result so far: 178.74193
Deduct 93 from 110 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 10:
31 goes into 170 5 times with a remainder of 15.
The next digit of our result is 5. 
Result so far: 178.741935
The remainder is 15 after subtracting 155 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 11:
The number 31 fits into 150 4 times, leaving a remainder of 26.
The next digit of our result is 4. 
Result so far: 178.7419354
If we take 124 away from 150, we end up 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.

Step 12:
31 can be fit into 260 8 times, resulting in a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 178.74193548
If we take 248 away from 260, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

After the division, we end up with 178.74193548 and a remainder of 1.2e-08.