Let's divide 377251 by 53
Our goal is to divide 377251 by 53.

Advancing to step 1:
If we divide 3 by 53, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (7) from the dividend, attach it to 3 and continue: 37 / 53

Moving on to step 2:
If we divide 37 by 53, we get 0 and a remainder of 37.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 37, we get 37.
Append the next digit (7) from the dividend to 37 and continue with: 377 / 53

On to step 3:
When dividing 377 by 53, we get 7 with a remainder of 6.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtracting 371 from 377 leaves us with 6.
Take the next digit (2) from the dividend and append it to 6, then repeat: 62 / 53

Let's proceed to step 4:
The number 53 fits into 62 1 times, leaving a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 71.0
The remainder is 9 after subtracting 53 from 62.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 53

Step 5:
53 goes into 95 1 times with a remainder of 42.
Record the quotient 1 as the next digit in the result. 
Result so far: 711.0
If we subtract 53 from 95, we get 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 53

Step 6:
The number 53 fits into 421 7 times, leaving a remainder of 50.
The number 7 becomes the next digit in our result. 
Result so far: 7117.0
Deduct 371 from 421 and we're left 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.

On to step 7:
The number 53 fits into 500 9 times, leaving a remainder of 23.
Write down 9 as next digit of the result. 
Result so far: 7117.9
If we subtract 477 from 500, we 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.

Let's proceed to step 8:
If we divide 230 by 53, we get 4 and a remainder of 18.
Use 4 as the next digit of our solution. 
Result so far: 7117.94
Subtract 212 from 230 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 9:
180 divided by 53 is 3 with a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 7117.943
If we take 159 away from 180, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 10:
210 divided by 53 is 3 with a remainder of 51.
The number 3 becomes the next digit in our result. 
Result so far: 7117.9433
The remainder is 51 after subtracting 159 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

The quotient of the division is 7117.9433, and the remainder is 0.00051.