514098 ÷ 31 
We're looking to find how many times 31 goes into 514098.

Step 1:
When dividing 5 by 31, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Fetch the next digit (1) from the dividend, attach it to 5 and continue: 51 / 31

Let's proceed to step 2:
31 can be fit into 51 1 times, resulting in a remainder of 20.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 31 from 51, we get 20.
Include the next digit (4) from the dividend after 20, then repeat: 204 / 31

Advancing to step 3:
When dividing 204 by 31, we get 6 with a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 16.0
If we subtract 186 from 204, we get 18.
Fetch the next digit (0) from the dividend, attach it to 18 and continue: 180 / 31

Advancing to step 4:
When dividing 180 by 31, we get 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 165.0
Subtracting 155 from 180 leaves us with 25.
Include the next digit (9) from the dividend after 25, then repeat: 259 / 31

Step 5:
31 goes into 259 8 times with a remainder of 11.
The number 8 becomes the next digit in our result. 
Result so far: 1658.0
The remainder is 11 after subtracting 248 from 259.
Bring next digit (8) of the dividend behind the 11 and repeat the process: 118 / 31

Let's proceed to step 6:
118 divided by 31 is 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 16583.0
Subtracting 93 from 118 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 7:
The number 31 fits into 250 8 times, leaving a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 16583.8
The remainder is 2 after subtracting 248 from 250.
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 8:
20 divided by 31 is 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 16583.8
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
The number 31 fits into 200 6 times, leaving a remainder of 14.
Use 6 as the next digit of our solution. 
Result so far: 16583.806
The remainder is 14 after subtracting 186 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 10:
140 divided by 31 is 4 with a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 16583.8064
Subtract 124 from 140 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 11:
When dividing 160 by 31, we get 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 16583.80645
If we take 155 away from 160, we end up 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.

Step 12:
31 goes into 50 1 times with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 16583.806451
If we subtract 31 from 50, 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.

Let's proceed to step 13:
31 goes into 190 6 times with a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 16583.8064516
The remainder is 4 after subtracting 186 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 14:
31 goes into 40 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 16583.80645161
Subtract 31 from 40 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Our division results in 16583.80645161 with a remaining 9e-09.