We look at the division of 16374 by 7 
Let's see how many times 7 fits into 16374.

Advancing to step 1:
7 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 7

Let's proceed to step 2:
7 goes into 16 2 times with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
If we subtract 14 from 16, we get 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 7

Moving on to step 3:
If we divide 23 by 7, we get 3 and a remainder of 2.
Put 3 as the next digit of the answer. 
Result so far: 23.0
Subtracting 21 from 23 leaves us with 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 7

Going ahead to step 4:
The number 7 fits into 27 3 times, leaving a remainder of 6.
Put 3 as the next digit of the answer. 
Result so far: 233.0
Subtracting 21 from 27 leaves us with 6.
Fetch the next digit (4) from the dividend, attach it to 6 and continue: 64 / 7

Let's proceed to step 5:
When dividing 64 by 7, we get 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 2339.0
If we take 63 away from 64, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 6:
When dividing 10 by 7, we get 1 with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 2339.1
Subtract 7 from 10 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.

Let's proceed to step 7:
When dividing 30 by 7, we get 4 with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 2339.14
If we take 28 away from 30, we end up 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.

Moving on to step 8:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 2339.142
Subtracting 14 from 20 leaves us 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 9:
When dividing 60 by 7, we get 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 2339.1428
Subtracting 56 from 60 leaves us 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.

Step 10:
When dividing 40 by 7, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 2339.14285
Subtract 35 from 40 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 11:
7 can be fit into 50 7 times, resulting in a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 2339.142857
Subtract 49 from 50 to 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.

On to step 12:
7 goes into 10 1 times with a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 2339.1428571
Deduct 7 from 10 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 13:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 2339.14285714
Deduct 28 from 30 and we're left 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.

The quotient of the division is 2339.14285714, and the remainder is 2e-09.