173874 ÷ 86 
We're looking to find how many times 86 goes into 173874.

Step 1:
86 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 86

On to step 2:
86 can be fit into 17 0 times, resulting in a remainder of 17.
Record the quotient 0 as the next digit in the 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 / 86

Step 3:
173 divided by 86 is 2 with a remainder of 1.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 172 from 173 and we're left with 1.
Append the next digit (8) from the dividend to 1 and continue with: 18 / 86

Advancing to step 4:
86 goes into 18 0 times with a remainder of 18.
Put 0 as the next digit of the answer. 
Result so far: 20.0
If we take 0 away from 18, we end up with 18.
Append the next digit (7) from the dividend to 18 and continue with: 187 / 86

Let's proceed to step 5:
The number 86 fits into 187 2 times, leaving a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 202.0
Deduct 172 from 187 and we're left with 15.
Append the next digit (4) from the dividend to 15 and continue with: 154 / 86

Moving on to step 6:
86 can be fit into 154 1 times, resulting in a remainder of 68.
Write down 1 as next digit of the result. 
Result so far: 2021.0
Deduct 86 from 154 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 7:
86 can be fit into 680 7 times, resulting in a remainder of 78.
Use 7 as the next digit of our solution. 
Result so far: 2021.7
Subtracting 602 from 680 leaves us with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 8:
When dividing 780 by 86, we get 9 with a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 2021.79
The remainder is 6 after subtracting 774 from 780.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 9:
When dividing 60 by 86, we get 0 with a remainder of 60.
Write down 0 as next digit of the result. 
Result so far: 2021.79
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 10:
86 goes into 600 6 times with a remainder of 84.
Write down 6 as next digit of the result. 
Result so far: 2021.7906
Subtracting 516 from 600 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Step 11:
86 can be fit into 840 9 times, resulting in a remainder of 66.
Write down 9 as next digit of the result. 
Result so far: 2021.79069
Subtract 774 from 840 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 12:
660 divided by 86 is 7 with a remainder of 58.
Write down 7 as next digit of the result. 
Result so far: 2021.790697
Subtracting 602 from 660 leaves us with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 13:
580 divided by 86 is 6 with a remainder of 64.
Record the quotient 6 as the next digit in the result. 
Result so far: 2021.7906976
If we subtract 516 from 580, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Advancing to step 14:
640 divided by 86 is 7 with a remainder of 38.
The number 7 becomes the next digit in our result. 
Result so far: 2021.79069767
Subtract 602 from 640 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

After the division, we end up with 2021.79069767 and a remainder of 3.8e-08.