73689 ÷ 13 
We want to divide 73689 by 13.

On to step 1:
13 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Append the next digit (3) from the dividend to 7 and continue with: 73 / 13

Going ahead to step 2:
The number 13 fits into 73 5 times, leaving a remainder of 8.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 65 away from 73, we end up with 8.
Grab the next digit (6) from the dividend, add it to 8, then carry on: 86 / 13

On to step 3:
When dividing 86 by 13, we get 6 with a remainder of 8.
The number 6 becomes the next digit in our result. 
Result so far: 56.0
If we subtract 78 from 86, we get 8.
Append the next digit (8) from the dividend to 8 and continue with: 88 / 13

Moving on to step 4:
If we divide 88 by 13, we get 6 and a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 566.0
If we take 78 away from 88, we end up with 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 13

Advancing to step 5:
109 divided by 13 is 8 with a remainder of 5.
Use 8 as the next digit of our solution. 
Result so far: 5668.0
Subtract 104 from 109 to 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.

Let's proceed to step 6:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 5668.3
Deduct 39 from 50 and we're left 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.

Going ahead to step 7:
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: 5668.38
If we subtract 104 from 110, 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.

Advancing to step 8:
60 divided by 13 is 4 with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 5668.384
If we subtract 52 from 60, we 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.

Going ahead to step 9:
13 goes into 80 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 5668.3846
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.

Step 10:
20 divided by 13 is 1 with a remainder of 7.
The next digit of our result is 1. 
Result so far: 5668.38461
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.

Moving on to step 11:
When dividing 70 by 13, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5668.384615
The remainder is 5 after subtracting 65 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 12:
13 goes into 50 3 times with a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 5668.3846153
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.

Advancing to step 13:
13 goes into 110 8 times with a remainder of 6.
The next digit of our result is 8. 
Result so far: 5668.38461538
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.

Our division results in 5668.38461538 with a remaining 6e-09.