6332169 ÷ 53 
Our goal is to divide 6332169 by 53.

On to step 1:
6 divided by 53 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 53

Going ahead to step 2:
53 can be fit into 63 1 times, resulting in a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 53 from 63 to get 10.
Fetch the next digit (3) from the dividend, attach it to 10 and continue: 103 / 53

On to step 3:
When dividing 103 by 53, we get 1 with a remainder of 50.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 53 from 103 and we're left with 50.
Fetch the next digit (2) from the dividend, attach it to 50 and continue: 502 / 53

On to step 4:
53 can be fit into 502 9 times, resulting in a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 119.0
If we subtract 477 from 502, we get 25.
Grab the next digit (1) from the dividend, add it to 25, then carry on: 251 / 53

On to step 5:
The number 53 fits into 251 4 times, leaving a remainder of 39.
The next digit of our result is 4. 
Result so far: 1194.0
If we take 212 away from 251, we end up with 39.
Include the next digit (6) from the dividend after 39, then repeat: 396 / 53

Step 6:
396 divided by 53 is 7 with a remainder of 25.
Write down 7 as next digit of the result. 
Result so far: 11947.0
Subtract 371 from 396 to get 25.
Append the next digit (9) from the dividend to 25 and continue with: 259 / 53

Let's proceed to step 7:
When dividing 259 by 53, we get 4 with a remainder of 47.
Put 4 as the next digit of the answer. 
Result so far: 119474.0
If we subtract 212 from 259, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Moving on to step 8:
If we divide 470 by 53, we get 8 and a remainder of 46.
Put 8 as the next digit of the answer. 
Result so far: 119474.8
If we take 424 away from 470, we end up 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.

Step 9:
When dividing 460 by 53, we get 8 with a remainder of 36.
Write down 8 as next digit of the result. 
Result so far: 119474.88
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.

After the division, we end up with 119474.88 and a remainder of 0.036.