665673 ÷ 13 
Let's see how many times 13 fits into 665673.

Let's proceed to step 1:
If we divide 6 by 13, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Grab the next digit (6) from the dividend, add it to 6, then carry on: 66 / 13

Advancing to step 2:
The number 13 fits into 66 5 times, leaving a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
If we subtract 65 from 66, we get 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 13

Step 3:
If we divide 15 by 13, we get 1 and a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 51.0
Deduct 13 from 15 and we're left with 2.
Include the next digit (6) from the dividend after 2, then repeat: 26 / 13

Let's proceed to step 4:
26 divided by 13 is 2 with a remainder of 0.
Put 2 as the next digit of the answer. 
Result so far: 512.0
Subtract 26 from 26 to get 0.
Fetch the next digit (7) from the dividend, attach it to 0 and continue: 7 / 13

Going ahead to step 5:
When dividing 7 by 13, we get 0 with a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 5120.0
Deduct 0 from 7 and we're left with 7.
Fetch the next digit (3) from the dividend, attach it to 7 and continue: 73 / 13

Going ahead to step 6:
When dividing 73 by 13, we get 5 with a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 51205.0
Subtract 65 from 73 to 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.

Advancing to step 7:
13 goes into 80 6 times with a remainder of 2.
The next digit of our result is 6. 
Result so far: 51205.6
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.

Let's proceed to step 8:
If we divide 20 by 13, we get 1 and a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 51205.61
If we subtract 13 from 20, we 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.

Advancing to step 9:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 51205.615
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.

Step 10:
13 goes into 50 3 times with a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 51205.6153
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.

Step 11:
When dividing 110 by 13, we get 8 with a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 51205.61538
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.

Let's proceed to step 12:
60 divided by 13 is 4 with a remainder of 8.
The next digit of our result is 4. 
Result so far: 51205.615384
Subtract 52 from 60 to 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.

Let's proceed to step 13:
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: 51205.6153846
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.

Going ahead to step 14:
20 divided by 13 is 1 with a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 51205.61538461
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.

The quotient of the division is 51205.61538461, and the remainder is 7e-09.