481671 ÷ 13 
We're looking to find how many times 13 goes into 481671.

Going ahead to step 1:
When dividing 4 by 13, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Include the next digit (8) from the dividend after 4, then repeat: 48 / 13

Going ahead to step 2:
When dividing 48 by 13, we get 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
The remainder is 9 after subtracting 39 from 48.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 13

Let's proceed to step 3:
The number 13 fits into 91 7 times, leaving a remainder of 0.
The number 7 becomes the next digit in our result. 
Result so far: 37.0
The remainder is 0 after subtracting 91 from 91.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 13

Let's proceed to step 4:
6 divided by 13 is 0 with a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 370.0
Subtract 0 from 6 to get 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 13

Moving on to step 5:
67 divided by 13 is 5 with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 3705.0
Subtracting 65 from 67 leaves us with 2.
Grab the next digit (1) from the dividend, add it to 2, then carry on: 21 / 13

Going ahead to step 6:
21 divided by 13 is 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 37051.0
The remainder is 8 after subtracting 13 from 21.
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 7:
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: 37051.6
If we subtract 78 from 80, we get 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 8:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 37051.61
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 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: 37051.615
Subtracting 65 from 70 leaves us 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.

On to step 10:
The number 13 fits into 50 3 times, leaving a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 37051.6153
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.

Let's proceed to step 11:
If we divide 110 by 13, we get 8 and a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 37051.61538
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.

Moving on to step 12:
If we divide 60 by 13, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 37051.615384
Subtracting 52 from 60 leaves us 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.

On to step 13:
The number 13 fits into 80 6 times, leaving a remainder of 2.
The next digit of our result is 6. 
Result so far: 37051.6153846
If we subtract 78 from 80, we get 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 14:
13 goes into 20 1 times with a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 37051.61538461
Deduct 13 from 20 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Our division results in 37051.61538461 with a remaining 7e-09.