111671 ÷ 31 
We're looking to find how many times 31 goes into 111671.

Going ahead to step 1:
31 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 31

Step 2:
The number 31 fits into 11 0 times, leaving a remainder of 11.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 11 leaves us with 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 31

Advancing to step 3:
111 divided by 31 is 3 with a remainder of 18.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtracting 93 from 111 leaves us with 18.
Append the next digit (6) from the dividend to 18 and continue with: 186 / 31

Moving on to step 4:
When dividing 186 by 31, we get 6 with a remainder of 0.
The number 6 becomes the next digit in our result. 
Result so far: 36.0
The remainder is 0 after subtracting 186 from 186.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 31

Step 5:
31 goes into 7 0 times with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 360.0
Subtracting 0 from 7 leaves us with 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 31

On to step 6:
The number 31 fits into 71 2 times, leaving a remainder of 9.
Write down 2 as next digit of the result. 
Result so far: 3602.0
If we take 62 away from 71, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
90 divided by 31 is 2 with a remainder of 28.
The number 2 becomes the next digit in our result. 
Result so far: 3602.2
Subtract 62 from 90 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Step 8:
If we divide 280 by 31, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 3602.29
Subtracting 279 from 280 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 9:
31 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 3602.29
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 10:
The number 31 fits into 100 3 times, leaving a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 3602.2903
If we take 93 away from 100, we end up 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.

Moving on to step 11:
The number 31 fits into 70 2 times, leaving a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 3602.29032
The remainder is 8 after subtracting 62 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 12:
80 divided by 31 is 2 with a remainder of 18.
Write down 2 as next digit of the result. 
Result so far: 3602.290322
Subtracting 62 from 80 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Our division results in 3602.290322 with a remaining 1.8e-06.