We're dividing 3219 by 51 
Our goal is to divide 3219 by 51.

Moving on to step 1:
51 goes into 3 0 times with a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (2) from the dividend, add it to 3, then carry on: 32 / 51

Advancing to step 2:
32 divided by 51 is 0 with a remainder of 32.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 32, we end up with 32.
Take the next digit (1) from the dividend and append it to 32, then repeat: 321 / 51

Advancing to step 3:
The number 51 fits into 321 6 times, leaving a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Deduct 306 from 321 and we're left with 15.
Grab the next digit (9) from the dividend, add it to 15, then carry on: 159 / 51

Moving on to step 4:
The number 51 fits into 159 3 times, leaving a remainder of 6.
Use 3 as the next digit of our solution. 
Result so far: 63.0
If we subtract 153 from 159, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 5:
60 divided by 51 is 1 with a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 63.1
Subtract 51 from 60 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 6:
51 goes into 90 1 times with a remainder of 39.
Record the quotient 1 as the next digit in the result. 
Result so far: 63.11
If we take 51 away from 90, we end up with 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

The final result is 63.11 with a remainder of 0.039.