102984 ÷ 13 
Let's see how many times 13 fits into 102984.

On to step 1:
1 divided by 13 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 13

Let's proceed to step 2:
If we divide 10 by 13, we get 0 and 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.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 13

Moving on to step 3:
13 goes into 102 7 times with a remainder of 11.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
If we take 91 away from 102, we end up with 11.
Grab the next digit (9) from the dividend, add it to 11, then carry on: 119 / 13

On to step 4:
13 can be fit into 119 9 times, resulting in a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 79.0
Deduct 117 from 119 and we're left with 2.
Take the next digit (8) from the dividend and append it to 2, then repeat: 28 / 13

On to step 5:
If we divide 28 by 13, we get 2 and a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 792.0
Subtracting 26 from 28 leaves us with 2.
Bring next digit (4) of the dividend behind the 2 and repeat the process: 24 / 13

On to step 6:
If we divide 24 by 13, we get 1 and a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 7921.0
The remainder is 11 after subtracting 13 from 24.
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 7:
13 can be fit into 110 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 7921.8
Subtract 104 from 110 to 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.

Moving on to step 8:
13 can be fit into 60 4 times, resulting in a remainder of 8.
The next digit of our result is 4. 
Result so far: 7921.84
Deduct 52 from 60 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
80 divided by 13 is 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 7921.846
If we take 78 away from 80, we end up 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.

On to step 10:
When dividing 20 by 13, we get 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 7921.8461
The remainder is 7 after subtracting 13 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 11:
If we divide 70 by 13, we get 5 and a remainder of 5.
The next digit of our result is 5. 
Result so far: 7921.84615
If we subtract 65 from 70, we get 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 12:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 7921.846153
If we take 39 away from 50, we end up 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 13:
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: 7921.8461538
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.

On to step 14:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 7921.84615384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Our division results in 7921.84615384 with a remaining 8e-09.