5378 ÷ 53 
Our goal is to divide 5378 by 53.

Step 1:
53 can be fit into 5 0 times, resulting in a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 53

Let's proceed to step 2:
If we divide 53 by 53, we get 1 and a remainder of 0.
The next digit of our result is 1. 
Result so far: 1.0
Subtracting 53 from 53 leaves us with 0.
Include the next digit (7) from the dividend after 0, then repeat: 7 / 53

Let's proceed to step 3:
53 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 10.0
Subtract 0 from 7 to get 7.
Fetch the next digit (8) from the dividend, attach it to 7 and continue: 78 / 53

Step 4:
78 divided by 53 is 1 with a remainder of 25.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.0
If we take 53 away from 78, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 5:
53 can be fit into 250 4 times, resulting in a remainder of 38.
Write down 4 as next digit of the result. 
Result so far: 101.4
If we take 212 away from 250, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 6:
380 divided by 53 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 101.47
Deduct 371 from 380 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 7:
53 can be fit into 90 1 times, resulting in a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 101.471
The remainder is 37 after subtracting 53 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 8:
The number 53 fits into 370 6 times, leaving a remainder of 52.
Write down 6 as next digit of the result. 
Result so far: 101.4716
If we subtract 318 from 370, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Step 9:
The number 53 fits into 520 9 times, leaving a remainder of 43.
Use 9 as the next digit of our solution. 
Result so far: 101.47169
Deduct 477 from 520 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 10:
53 can be fit into 430 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 101.471698
Deduct 424 from 430 and we're left 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.

Let's proceed to step 11:
53 can be fit into 60 1 times, resulting in a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 101.4716981
Subtract 53 from 60 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 12:
The number 53 fits into 70 1 times, leaving a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 101.47169811
Deduct 53 from 70 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The final outcome is 101.47169811, with a leftover of 1.7e-08.