173420 ÷ 31 
We're looking to find how many times 31 goes into 173420.

Moving on to step 1:
If we divide 1 by 31, we get 0 and 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 (7) from the dividend and append it to 1, then repeat: 17 / 31

Going ahead to step 2:
17 divided by 31 is 0 with a remainder of 17.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 17, we get 17.
Fetch the next digit (3) from the dividend, attach it to 17 and continue: 173 / 31

Let's proceed to step 3:
When dividing 173 by 31, we get 5 with a remainder of 18.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 155 from 173, we get 18.
Include the next digit (4) from the dividend after 18, then repeat: 184 / 31

Step 4:
When dividing 184 by 31, we get 5 with a remainder of 29.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
Deduct 155 from 184 and we're left with 29.
Take the next digit (2) from the dividend and append it to 29, then repeat: 292 / 31

Moving on to step 5:
When dividing 292 by 31, we get 9 with a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 559.0
Subtract 279 from 292 to get 13.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 31

On to step 6:
When dividing 130 by 31, we get 4 with a remainder of 6.
Write down 4 as next digit of the result. 
Result so far: 5594.0
If we take 124 away from 130, we end up 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.

Advancing to step 7:
31 can be fit into 60 1 times, resulting in a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 5594.1
If we take 31 away from 60, we end up 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.

On to step 8:
31 goes into 290 9 times with a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 5594.19
Subtracting 279 from 290 leaves us 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 9:
When dividing 110 by 31, we get 3 with a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 5594.193
The remainder is 17 after subtracting 93 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 10:
If we divide 170 by 31, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 5594.1935
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.

Let's proceed to step 11:
If we divide 150 by 31, we get 4 and a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 5594.19354
If we subtract 124 from 150, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 12:
31 goes into 260 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 5594.193548
Subtracting 248 from 260 leaves us 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.

On to step 13:
When dividing 120 by 31, we get 3 with a remainder of 27.
The number 3 becomes the next digit in our result. 
Result so far: 5594.1935483
If we take 93 away from 120, we end up 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.

Step 14:
If we divide 270 by 31, we get 8 and a remainder of 22.
The next digit of our result is 8. 
Result so far: 5594.19354838
If we take 248 away from 270, we end up 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.

After the division, we end up with 5594.19354838 and a remainder of 2.2e-08.