We're dividing 332672 by 51 
Our goal is to divide 332672 by 51.

Moving on to step 1:
If we divide 3 by 51, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 51

On to step 2:
If we divide 33 by 51, we get 0 and a remainder of 33.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 33 leaves us with 33.
Fetch the next digit (2) from the dividend, attach it to 33 and continue: 332 / 51

Moving on to step 3:
If we divide 332 by 51, we get 6 and a remainder of 26.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we take 306 away from 332, we end up with 26.
Fetch the next digit (6) from the dividend, attach it to 26 and continue: 266 / 51

Moving on to step 4:
51 can be fit into 266 5 times, resulting in a remainder of 11.
Put 5 as the next digit of the answer. 
Result so far: 65.0
Deduct 255 from 266 and we're left with 11.
Append the next digit (7) from the dividend to 11 and continue with: 117 / 51

On to step 5:
117 divided by 51 is 2 with a remainder of 15.
The next digit of our result is 2. 
Result so far: 652.0
The remainder is 15 after subtracting 102 from 117.
Grab the next digit (2) from the dividend, add it to 15, then carry on: 152 / 51

Going ahead to step 6:
51 can be fit into 152 2 times, resulting in a remainder of 50.
Use 2 as the next digit of our solution. 
Result so far: 6522.0
Subtracting 102 from 152 leaves us 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.

Moving on to step 7:
The number 51 fits into 500 9 times, leaving a remainder of 41.
Put 9 as the next digit of the answer. 
Result so far: 6522.9
If we subtract 459 from 500, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 8:
If we divide 410 by 51, we get 8 and a remainder of 2.
The number 8 becomes the next digit in our result. 
Result so far: 6522.98
If we take 408 away from 410, 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.

On to step 9:
When dividing 20 by 51, we get 0 with a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 6522.98
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
When dividing 200 by 51, we get 3 with a remainder of 47.
Record the quotient 3 as the next digit in the result. 
Result so far: 6522.9803
If we subtract 153 from 200, 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 11:
51 can be fit into 470 9 times, resulting in a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 6522.98039
Subtract 459 from 470 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 12:
51 goes into 110 2 times with a remainder of 8.
Write down 2 as next digit of the result. 
Result so far: 6522.980392
Deduct 102 from 110 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 13:
When dividing 80 by 51, we get 1 with a remainder of 29.
Record the quotient 1 as the next digit in the result. 
Result so far: 6522.9803921
Deduct 51 from 80 and we're left with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 14:
When dividing 290 by 51, we get 5 with a remainder of 35.
Record the quotient 5 as the next digit in the result. 
Result so far: 6522.98039215
Subtract 255 from 290 to 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.

In conclusion, the division gives 6522.98039215 with a balance of 3.5e-08.