We're dividing 131674 by 19 
We want to divide 131674 by 19.

Let's proceed to step 1:
19 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 19

Let's proceed to step 2:
19 can be fit into 13 0 times, resulting in a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Append the next digit (1) from the dividend to 13 and continue with: 131 / 19

Advancing to step 3:
131 divided by 19 is 6 with a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 17 after subtracting 114 from 131.
Grab the next digit (6) from the dividend, add it to 17, then carry on: 176 / 19

Let's proceed to step 4:
19 goes into 176 9 times with a remainder of 5.
Write down 9 as next digit of the result. 
Result so far: 69.0
Subtracting 171 from 176 leaves us with 5.
Include the next digit (7) from the dividend after 5, then repeat: 57 / 19

On to step 5:
57 divided by 19 is 3 with a remainder of 0.
Write down 3 as next digit of the result. 
Result so far: 693.0
Subtract 57 from 57 to get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 19

Step 6:
19 goes into 4 0 times with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 6930.0
If we take 0 away from 4, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 7:
19 goes into 40 2 times with a remainder of 2.
The next digit of our result is 2. 
Result so far: 6930.2
Subtracting 38 from 40 leaves us with 2.
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:
If we divide 20 by 19, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 6930.21
If we subtract 19 from 20, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 9:
When dividing 10 by 19, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 6930.21
Subtract 0 from 10 to get 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:
19 can be fit into 100 5 times, resulting in a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 6930.2105
Deduct 95 from 100 and we're left 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 11:
19 can be fit into 50 2 times, resulting in a remainder of 12.
The next digit of our result is 2. 
Result so far: 6930.21052
The remainder is 12 after subtracting 38 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
The number 19 fits into 120 6 times, leaving a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 6930.210526
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
When dividing 60 by 19, we get 3 with a remainder of 3.
The next digit of our result is 3. 
Result so far: 6930.2105263
Subtract 57 from 60 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 14:
When dividing 30 by 19, we get 1 with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 6930.21052631
If we subtract 19 from 30, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Our division results in 6930.21052631 with a remaining 1.1e-08.