312212 ÷ 51 
Our goal is to divide 312212 by 51.

Step 1:
If we divide 3 by 51, we get 0 and a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Grab the next digit (1) from the dividend, add it to 3, then carry on: 31 / 51

Step 2:
When dividing 31 by 51, we get 0 with a remainder of 31.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 31 and we're left with 31.
Take the next digit (2) from the dividend and append it to 31, then repeat: 312 / 51

Going ahead to step 3:
51 goes into 312 6 times with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Subtract 306 from 312 to get 6.
Include the next digit (2) from the dividend after 6, then repeat: 62 / 51

Going ahead to step 4:
If we divide 62 by 51, we get 1 and a remainder of 11.
The next digit of our result is 1. 
Result so far: 61.0
If we take 51 away from 62, we end up with 11.
Bring next digit (1) of the dividend behind the 11 and repeat the process: 111 / 51

Step 5:
If we divide 111 by 51, we get 2 and a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 612.0
Deduct 102 from 111 and we're left with 9.
Include the next digit (2) from the dividend after 9, then repeat: 92 / 51

Advancing to step 6:
The number 51 fits into 92 1 times, leaving a remainder of 41.
Use 1 as the next digit of our solution. 
Result so far: 6121.0
If we subtract 51 from 92, 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.

Step 7:
51 can be fit into 410 8 times, resulting in a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 6121.8
The remainder is 2 after subtracting 408 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 51, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 6121.8
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
The number 51 fits into 200 3 times, leaving a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 6121.803
The remainder is 47 after subtracting 153 from 200.
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 10:
51 goes into 470 9 times with a remainder of 11.
Write down 9 as next digit of the result. 
Result so far: 6121.8039
Subtracting 459 from 470 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 11:
If we divide 110 by 51, we get 2 and a remainder of 8.
The next digit of our result is 2. 
Result so far: 6121.80392
Subtract 102 from 110 to get 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 12:
The number 51 fits into 80 1 times, leaving a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 6121.803921
Subtracting 51 from 80 leaves us 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.

Let's proceed to step 13:
When dividing 290 by 51, we get 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 6121.8039215
If we subtract 255 from 290, 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.

Going ahead to step 14:
The number 51 fits into 350 6 times, leaving a remainder of 44.
Record the quotient 6 as the next digit in the result. 
Result so far: 6121.80392156
Deduct 306 from 350 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

The quotient of the division is 6121.80392156, and the remainder is 4.4e-08.