We're dividing 674218 by 13 
We're looking to find how many times 13 goes into 674218.

Moving on to step 1:
13 goes into 6 0 times with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Append the next digit (7) from the dividend to 6 and continue with: 67 / 13

Advancing to step 2:
67 divided by 13 is 5 with a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 65 from 67 and we're left with 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 13

Moving on to step 3:
13 can be fit into 24 1 times, resulting in a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 51.0
If we subtract 13 from 24, we get 11.
Take the next digit (2) from the dividend and append it to 11, then repeat: 112 / 13

On to step 4:
When dividing 112 by 13, we get 8 with a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 518.0
Subtracting 104 from 112 leaves us with 8.
Grab the next digit (1) from the dividend, add it to 8, then carry on: 81 / 13

Moving on to step 5:
13 can be fit into 81 6 times, resulting in a remainder of 3.
The next digit of our result is 6. 
Result so far: 5186.0
If we take 78 away from 81, we end up with 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 13

Moving on to step 6:
If we divide 38 by 13, we get 2 and a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 51862.0
Subtracting 26 from 38 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 7:
When dividing 120 by 13, we get 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 51862.9
If we take 117 away from 120, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 8:
13 goes into 30 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 51862.92
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 9:
40 divided by 13 is 3 with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 51862.923
If we take 39 away from 40, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 10:
13 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 51862.923
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 11:
If we divide 100 by 13, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 51862.92307
Deduct 91 from 100 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 12:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 51862.923076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 13:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 51862.9230769
Deduct 117 from 120 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 14:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 51862.92307692
Subtracting 26 from 30 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Our division results in 51862.92307692 with a remaining 4e-09.