6102 ÷ 13 
We want to divide 6102 by 13.

Step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 13

Step 2:
13 can be fit into 61 4 times, resulting in a remainder of 9.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 52 away from 61, we end up with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 13

Step 3:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 46.0
The remainder is 12 after subtracting 78 from 90.
Take the next digit (2) from the dividend and append it to 12, then repeat: 122 / 13

On to step 4:
13 can be fit into 122 9 times, resulting in a remainder of 5.
Use 9 as the next digit of our solution. 
Result so far: 469.0
The remainder is 5 after subtracting 117 from 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 5:
13 can be fit into 50 3 times, resulting in a remainder of 11.
The next digit of our result is 3. 
Result so far: 469.3
Subtracting 39 from 50 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.

Step 6:
110 divided by 13 is 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 469.38
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 7:
13 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 469.384
The remainder is 8 after subtracting 52 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 469.3846
Deduct 78 from 80 and we're left 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.

Advancing to step 9:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 469.38461
Subtract 13 from 20 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 10:
70 divided by 13 is 5 with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 469.384615
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
When dividing 50 by 13, we get 3 with a remainder of 11.
Put 3 as the next digit of the answer. 
Result so far: 469.3846153
If we subtract 39 from 50, we 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.

Step 12:
13 goes into 110 8 times with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 469.38461538
Subtracting 104 from 110 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 469.38461538, and the remainder is 6e-09.