351287 ÷ 53 
Our goal is to divide 351287 by 53.

Advancing to step 1:
The number 53 fits into 3 0 times, leaving a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 53

Advancing to step 2:
35 divided by 53 is 0 with a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Take the next digit (1) from the dividend and append it to 35, then repeat: 351 / 53

Advancing to step 3:
If we divide 351 by 53, we get 6 and a remainder of 33.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 318 from 351, we get 33.
Bring next digit (2) of the dividend behind the 33 and repeat the process: 332 / 53

Moving on to step 4:
If we divide 332 by 53, we get 6 and a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 66.0
If we subtract 318 from 332, we get 14.
Include the next digit (8) from the dividend after 14, then repeat: 148 / 53

Advancing to step 5:
The number 53 fits into 148 2 times, leaving a remainder of 42.
The next digit of our result is 2. 
Result so far: 662.0
Subtract 106 from 148 to get 42.
Fetch the next digit (7) from the dividend, attach it to 42 and continue: 427 / 53

Let's proceed to step 6:
427 divided by 53 is 8 with a remainder of 3.
Use 8 as the next digit of our solution. 
Result so far: 6628.0
Deduct 424 from 427 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.

Let's proceed to step 7:
If we divide 30 by 53, we get 0 and a remainder of 30.
Put 0 as the next digit of the answer. 
Result so far: 6628.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 8:
53 can be fit into 300 5 times, resulting in a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 6628.05
If we subtract 265 from 300, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 9:
53 goes into 350 6 times with a remainder of 32.
Record the quotient 6 as the next digit in the result. 
Result so far: 6628.056
The remainder is 32 after subtracting 318 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 10:
53 can be fit into 320 6 times, resulting in a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 6628.0566
If we take 318 away from 320, 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.

After the division, we end up with 6628.0566 and a remainder of 2e-05.