67101 divided by 13 
Our goal is to divide 67101 by 13.

Let's proceed to step 1:
13 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 13

Step 2:
The number 13 fits into 67 5 times, leaving a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 65 from 67 and we're left with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 13

Advancing to step 3:
13 can be fit into 21 1 times, resulting in a remainder of 8.
The next digit of our result is 1. 
Result so far: 51.0
The remainder is 8 after subtracting 13 from 21.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 13

Going ahead to step 4:
13 goes into 80 6 times with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 516.0
If we take 78 away from 80, we end up with 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 13

Step 5:
13 can be fit into 21 1 times, resulting in a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 5161.0
If we subtract 13 from 21, 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.

Moving on to step 6:
If we divide 80 by 13, we get 6 and a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 5161.6
Subtracting 78 from 80 leaves us 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 7:
The number 13 fits into 20 1 times, leaving a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 5161.61
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.

On to step 8:
If we divide 70 by 13, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 5161.615
Subtract 65 from 70 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.

On to step 9:
13 goes into 50 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 5161.6153
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.

Let's proceed to step 10:
13 goes into 110 8 times with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 5161.61538
The remainder is 6 after subtracting 104 from 110.
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 11:
If we divide 60 by 13, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 5161.615384
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.

Advancing to step 12:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 5161.6153846
The remainder is 2 after subtracting 78 from 80.
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 13:
The number 13 fits into 20 1 times, leaving a remainder of 7.
The next digit of our result is 1. 
Result so far: 5161.61538461
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.

The final outcome is 5161.61538461, with a leftover of 7e-09.