106302 divided by 51 
Our goal is to divide 106302 by 51.

Step 1:
When dividing 1 by 51, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 51

On to step 2:
51 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 10 to get 10.
Take the next digit (6) from the dividend and append it to 10, then repeat: 106 / 51

On to step 3:
When dividing 106 by 51, we get 2 with a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtract 102 from 106 to get 4.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 51

Going ahead to step 4:
If we divide 43 by 51, we get 0 and a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 20.0
The remainder is 43 after subtracting 0 from 43.
Grab the next digit (0) from the dividend, add it to 43, then carry on: 430 / 51

Moving on to step 5:
When dividing 430 by 51, we get 8 with a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 208.0
Subtract 408 from 430 to get 22.
Append the next digit (2) from the dividend to 22 and continue with: 222 / 51

Moving on to step 6:
When dividing 222 by 51, we get 4 with a remainder of 18.
The next digit of our result is 4. 
Result so far: 2084.0
Subtract 204 from 222 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 7:
51 can be fit into 180 3 times, resulting in a remainder of 27.
Use 3 as the next digit of our solution. 
Result so far: 2084.3
The remainder is 27 after subtracting 153 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 8:
270 divided by 51 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 2084.35
Deduct 255 from 270 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 9:
If we divide 150 by 51, we get 2 and a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 2084.352
Subtracting 102 from 150 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 10:
480 divided by 51 is 9 with a remainder of 21.
The next digit of our result is 9. 
Result so far: 2084.3529
Subtracting 459 from 480 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 11:
If we divide 210 by 51, we get 4 and a remainder of 6.
Use 4 as the next digit of our solution. 
Result so far: 2084.35294
If we subtract 204 from 210, 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.

Going ahead to step 12:
If we divide 60 by 51, we get 1 and a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 2084.352941
If we take 51 away from 60, we end up with 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 13:
If we divide 90 by 51, we get 1 and a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 2084.3529411
If we subtract 51 from 90, we get 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 quotient of the division is 2084.3529411, and the remainder is 3.9e-07.