We look at the division of 16374 by 53 
Our goal is to divide 16374 by 53.

Advancing to step 1:
The number 53 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 53

Going ahead to step 2:
53 can be fit into 16 0 times, resulting in a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 16, we end up with 16.
Fetch the next digit (3) from the dividend, attach it to 16 and continue: 163 / 53

Advancing to step 3:
53 goes into 163 3 times with a remainder of 4.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we take 159 away from 163, we end up with 4.
Grab the next digit (7) from the dividend, add it to 4, then carry on: 47 / 53

Let's proceed to step 4:
If we divide 47 by 53, we get 0 and a remainder of 47.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
The remainder is 47 after subtracting 0 from 47.
Append the next digit (4) from the dividend to 47 and continue with: 474 / 53

Step 5:
When dividing 474 by 53, we get 8 with a remainder of 50.
Use 8 as the next digit of our solution. 
Result so far: 308.0
Subtracting 424 from 474 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 6:
500 divided by 53 is 9 with a remainder of 23.
Write down 9 as next digit of the result. 
Result so far: 308.9
Subtract 477 from 500 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 7:
If we divide 230 by 53, we get 4 and a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 308.94
Deduct 212 from 230 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 8:
180 divided by 53 is 3 with a remainder of 21.
Record the quotient 3 as the next digit in the result. 
Result so far: 308.943
The remainder is 21 after subtracting 159 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 9:
53 can be fit into 210 3 times, resulting in a remainder of 51.
The number 3 becomes the next digit in our result. 
Result so far: 308.9433
Subtract 159 from 210 to get 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The final result is 308.9433 with a remainder of 0.00051.