We're dividing 378277 by 53 
We want to divide 378277 by 53.

Step 1:
When dividing 3 by 53, we get 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 53

Going ahead to step 2:
The number 53 fits into 37 0 times, leaving a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Bring next digit (8) of the dividend behind the 37 and repeat the process: 378 / 53

Advancing to step 3:
378 divided by 53 is 7 with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
The remainder is 7 after subtracting 371 from 378.
Include the next digit (2) from the dividend after 7, then repeat: 72 / 53

Advancing to step 4:
When dividing 72 by 53, we get 1 with a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
The remainder is 19 after subtracting 53 from 72.
Bring next digit (7) of the dividend behind the 19 and repeat the process: 197 / 53

Advancing to step 5:
The number 53 fits into 197 3 times, leaving a remainder of 38.
The next digit of our result is 3. 
Result so far: 713.0
Deduct 159 from 197 and we're left with 38.
Take the next digit (7) from the dividend and append it to 38, then repeat: 387 / 53

Step 6:
When dividing 387 by 53, we get 7 with a remainder of 16.
Put 7 as the next digit of the answer. 
Result so far: 7137.0
Subtract 371 from 387 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 7:
53 can be fit into 160 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 7137.3
Subtracting 159 from 160 leaves us 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 8:
10 divided by 53 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 7137.3
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.

Let's proceed to step 9:
53 goes into 100 1 times with a remainder of 47.
The next digit of our result is 1. 
Result so far: 7137.301
The remainder is 47 after subtracting 53 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

On to step 10:
53 can be fit into 470 8 times, resulting in a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 7137.3018
Deduct 424 from 470 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 11:
If we divide 460 by 53, we get 8 and a remainder of 36.
The number 8 becomes the next digit in our result. 
Result so far: 7137.30188
Deduct 424 from 460 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

The quotient of the division is 7137.30188, and the remainder is 3.6e-05.