436974 divided by 13 
Our goal is to divide 436974 by 13.

Going ahead to step 1:
The number 13 fits into 4 0 times, leaving a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 13

Let's proceed to step 2:
If we divide 43 by 13, we get 3 and a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 3.0
Subtract 39 from 43 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 13

On to step 3:
When dividing 46 by 13, we get 3 with a remainder of 7.
Record the quotient 3 as the next digit in the result. 
Result so far: 33.0
Deduct 39 from 46 and we're left with 7.
Fetch the next digit (9) from the dividend, attach it to 7 and continue: 79 / 13

Step 4:
The number 13 fits into 79 6 times, leaving a remainder of 1.
Use 6 as the next digit of our solution. 
Result so far: 336.0
If we subtract 78 from 79, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 13

Let's proceed to step 5:
17 divided by 13 is 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 3361.0
If we subtract 13 from 17, we get 4.
Fetch the next digit (4) from the dividend, attach it to 4 and continue: 44 / 13

Advancing to step 6:
When dividing 44 by 13, we get 3 with a remainder of 5.
The number 3 becomes the next digit in our result. 
Result so far: 33613.0
The remainder is 5 after subtracting 39 from 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 7:
The number 13 fits into 50 3 times, leaving a remainder of 11.
The number 3 becomes the next digit in our result. 
Result so far: 33613.3
Subtract 39 from 50 to 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.

Step 8:
If we divide 110 by 13, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 33613.38
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.

Let's proceed to step 9:
13 goes into 60 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 33613.384
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 10:
80 divided by 13 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 33613.3846
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 11:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 33613.38461
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.

Let's proceed to step 12:
When dividing 70 by 13, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 33613.384615
If we subtract 65 from 70, we 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 13:
If we divide 50 by 13, we get 3 and a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 33613.3846153
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.

Let's proceed to step 14:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 33613.38461538
Subtracting 104 from 110 leaves us 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.

Our division results in 33613.38461538 with a remaining 6e-09.