We divide 674334 by 13
We're looking to find how many times 13 goes into 674334.

Let's proceed to step 1:
13 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 13

Let's proceed to step 2:
13 can be fit into 67 5 times, resulting in 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.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 13

Step 3:
If we divide 24 by 13, we get 1 and a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 51.0
If we take 13 away from 24, we end up with 11.
Append the next digit (3) from the dividend to 11 and continue with: 113 / 13

On to step 4:
13 goes into 113 8 times with a remainder of 9.
Put 8 as the next digit of the answer. 
Result so far: 518.0
The remainder is 9 after subtracting 104 from 113.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 13

Moving on to step 5:
When dividing 93 by 13, we get 7 with a remainder of 2.
Record the quotient 7 as the next digit in the result. 
Result so far: 5187.0
Subtracting 91 from 93 leaves us with 2.
Include the next digit (4) from the dividend after 2, then repeat: 24 / 13

On to step 6:
The number 13 fits into 24 1 times, leaving a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 51871.0
Subtracting 13 from 24 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.

On to step 7:
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: 51871.8
Deduct 104 from 110 and we're left 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 8:
When dividing 60 by 13, we get 4 with a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 51871.84
If we take 52 away from 60, we end up 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.

Advancing to step 9:
When dividing 80 by 13, we get 6 with a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 51871.846
Subtract 78 from 80 to 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.

On to step 10:
20 divided by 13 is 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 51871.8461
If we take 13 away from 20, we end up 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.

On to step 11:
If we divide 70 by 13, we get 5 and a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 51871.84615
Deduct 65 from 70 and we're left 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.

Step 12:
50 divided by 13 is 3 with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 51871.846153
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 13:
The number 13 fits into 110 8 times, leaving a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 51871.8461538
Deduct 104 from 110 and we're left 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.

On to step 14:
When dividing 60 by 13, we get 4 with a remainder of 8.
The number 4 becomes the next digit in our result. 
Result so far: 51871.84615384
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.

After the division, we end up with 51871.84615384 and a remainder of 8e-09.