102217 divided by 51 
We're looking to find how many times 51 goes into 102217.

Let's proceed to step 1:
If we divide 1 by 51, we get 0 and a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 51

Step 2:
51 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 51

Step 3:
51 goes into 102 2 times with a remainder of 0.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 102 from 102 to get 0.
Take the next digit (2) from the dividend and append it to 0, then repeat: 2 / 51

Step 4:
If we divide 2 by 51, we get 0 and a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 20.0
Subtracting 0 from 2 leaves us with 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 51

Advancing to step 5:
If we divide 21 by 51, we get 0 and a remainder of 21.
Use 0 as the next digit of our solution. 
Result so far: 200.0
Subtract 0 from 21 to get 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 51

Moving on to step 6:
51 can be fit into 217 4 times, resulting in a remainder of 13.
Record the quotient 4 as the next digit in the result. 
Result so far: 2004.0
If we subtract 204 from 217, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

On to step 7:
The number 51 fits into 130 2 times, leaving a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 2004.2
If we take 102 away from 130, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 8:
280 divided by 51 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 2004.25
If we take 255 away from 280, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 9:
51 goes into 250 4 times with a remainder of 46.
The next digit of our result is 4. 
Result so far: 2004.254
The remainder is 46 after subtracting 204 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

On to step 10:
When dividing 460 by 51, we get 9 with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 2004.2549
If we take 459 away from 460, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 11:
If we divide 10 by 51, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 2004.2549
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 12:
The number 51 fits into 100 1 times, leaving a remainder of 49.
The next digit of our result is 1. 
Result so far: 2004.254901
If we subtract 51 from 100, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 13:
51 goes into 490 9 times with a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 2004.2549019
Subtract 459 from 490 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Going ahead to step 14:
The number 51 fits into 310 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 2004.25490196
Deduct 306 from 310 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 2004.25490196, and the remainder is 4e-09.