34121 ÷ 4 
We want to figure out the number of times 34121 can be divided by 4.

Going ahead to step 1:
When dividing 3 by 4, we get 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (4) from the dividend to 3 and continue with: 34 / 4

Going ahead to step 2:
4 goes into 34 8 times with a remainder of 2.
Use 8 as the next digit of our solution. 
Result so far: 8.0
Subtract 32 from 34 to get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 4

Going ahead to step 3:
If we divide 21 by 4, we get 5 and a remainder of 1.
Record the quotient 5 as the next digit in the result. 
Result so far: 85.0
If we take 20 away from 21, we end up with 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 4

Step 4:
When dividing 12 by 4, we get 3 with a remainder of 0.
Use 3 as the next digit of our solution. 
Result so far: 853.0
If we take 12 away from 12, we end up with 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 4

Let's proceed to step 5:
When dividing 1 by 4, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 8530.0
If we subtract 0 from 1, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 6:
The number 4 fits into 10 2 times, leaving a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 8530.2
If we take 8 away from 10, we end up with 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 7:
If we divide 20 by 4, we get 5 and a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 8530.25
Subtract 20 from 20 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 8:
When dividing 0 by 4, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 8530.25
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Advancing to step 9:
0 divided by 4 is 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 8530.25
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 8530.25 with a balance of 0.0.