438461 ÷ 34 
We want to figure out the number of times 438461 can be divided by 34.

Let's proceed to step 1:
When dividing 4 by 34, we get 0 with a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Take the next digit (3) from the dividend and append it to 4, then repeat: 43 / 34

Step 2:
If we divide 43 by 34, we get 1 and a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 34 from 43, we get 9.
Append the next digit (8) from the dividend to 9 and continue with: 98 / 34

On to step 3:
34 can be fit into 98 2 times, resulting in a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 12.0
If we take 68 away from 98, we end up with 30.
Fetch the next digit (4) from the dividend, attach it to 30 and continue: 304 / 34

Let's proceed to step 4:
When dividing 304 by 34, we get 8 with a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 128.0
Subtract 272 from 304 to get 32.
Append the next digit (6) from the dividend to 32 and continue with: 326 / 34

Going ahead to step 5:
34 can be fit into 326 9 times, resulting in a remainder of 20.
Record the quotient 9 as the next digit in the result. 
Result so far: 1289.0
Subtracting 306 from 326 leaves us with 20.
Take the next digit (1) from the dividend and append it to 20, then repeat: 201 / 34

Advancing to step 6:
The number 34 fits into 201 5 times, leaving a remainder of 31.
Write down 5 as next digit of the result. 
Result so far: 12895.0
Subtract 170 from 201 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Step 7:
The number 34 fits into 310 9 times, leaving a remainder of 4.
The number 9 becomes the next digit in our result. 
Result so far: 12895.9
If we subtract 306 from 310, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
34 can be fit into 40 1 times, resulting in a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 12895.91
The remainder is 6 after subtracting 34 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 9:
The number 34 fits into 60 1 times, leaving a remainder of 26.
The next digit of our result is 1. 
Result so far: 12895.911
If we subtract 34 from 60, we get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 12895.911, and the remainder is 0.0026.