106744 ÷ 31 
We want to figure out the number of times 106744 can be divided by 31.

Going ahead to step 1:
31 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 31

Let's proceed to step 2:
If we divide 10 by 31, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 31

On to step 3:
31 can be fit into 106 3 times, resulting in a remainder of 13.
Write down 3 as next digit of the result. 
Result so far: 3.0
The remainder is 13 after subtracting 93 from 106.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 31

Going ahead to step 4:
If we divide 137 by 31, we get 4 and a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 34.0
Subtracting 124 from 137 leaves us with 13.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 31

Going ahead to step 5:
31 can be fit into 134 4 times, resulting in a remainder of 10.
Use 4 as the next digit of our solution. 
Result so far: 344.0
Subtracting 124 from 134 leaves us with 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 31

Let's proceed to step 6:
When dividing 104 by 31, we get 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 3443.0
Deduct 93 from 104 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.

Let's proceed to step 7:
The number 31 fits into 110 3 times, leaving a remainder of 17.
Write down 3 as next digit of the result. 
Result so far: 3443.3
Subtract 93 from 110 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 8:
31 goes into 170 5 times with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 3443.35
If we subtract 155 from 170, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 9:
31 goes into 150 4 times with a remainder of 26.
Write down 4 as next digit of the result. 
Result so far: 3443.354
Deduct 124 from 150 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.

Moving on to step 10:
31 can be fit into 260 8 times, resulting in a remainder of 12.
The next digit of our result is 8. 
Result so far: 3443.3548
The remainder is 12 after subtracting 248 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
If we divide 120 by 31, we get 3 and a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 3443.35483
Subtracting 93 from 120 leaves us 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.

Advancing to step 12:
If we divide 270 by 31, we get 8 and a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 3443.354838
Subtracting 248 from 270 leaves us 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.

Advancing to step 13:
31 can be fit into 220 7 times, resulting in a remainder of 3.
The number 7 becomes the next digit in our result. 
Result so far: 3443.3548387
The remainder is 3 after subtracting 217 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 14:
When dividing 30 by 31, we get 0 with a remainder of 30.
Write down 0 as next digit of the result. 
Result so far: 3443.3548387
Subtract 0 from 30 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

In conclusion, the division gives 3443.3548387 with a balance of 3e-08.