34121 ÷ 76 
Our goal is to divide 34121 by 76.

Going ahead to step 1:
If we divide 3 by 76, we get 0 and a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 76

Going ahead to step 2:
34 divided by 76 is 0 with a remainder of 34.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 34 to get 34.
Bring next digit (1) of the dividend behind the 34 and repeat the process: 341 / 76

Moving on to step 3:
76 can be fit into 341 4 times, resulting in a remainder of 37.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Subtract 304 from 341 to get 37.
Fetch the next digit (2) from the dividend, attach it to 37 and continue: 372 / 76

Advancing to step 4:
76 goes into 372 4 times with a remainder of 68.
The number 4 becomes the next digit in our result. 
Result so far: 44.0
If we take 304 away from 372, we end up with 68.
Grab the next digit (1) from the dividend, add it to 68, then carry on: 681 / 76

Step 5:
76 goes into 681 8 times with a remainder of 73.
Record the quotient 8 as the next digit in the result. 
Result so far: 448.0
If we take 608 away from 681, we end up with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

On to step 6:
76 can be fit into 730 9 times, resulting in a remainder of 46.
Use 9 as the next digit of our solution. 
Result so far: 448.9
Subtract 684 from 730 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 7:
If we divide 460 by 76, we get 6 and a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 448.96
Subtracting 456 from 460 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.

Going ahead to step 8:
40 divided by 76 is 0 with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 448.96
Subtract 0 from 40 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
The number 76 fits into 400 5 times, leaving a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 448.9605
If we take 380 away from 400, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 10:
200 divided by 76 is 2 with a remainder of 48.
The number 2 becomes the next digit in our result. 
Result so far: 448.96052
Deduct 152 from 200 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 11:
76 can be fit into 480 6 times, resulting in a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 448.960526
Subtract 456 from 480 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 12:
The number 76 fits into 240 3 times, leaving a remainder of 12.
Write down 3 as next digit of the result. 
Result so far: 448.9605263
The remainder is 12 after subtracting 228 from 240.
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:
If we divide 120 by 76, we get 1 and a remainder of 44.
Use 1 as the next digit of our solution. 
Result so far: 448.96052631
The remainder is 44 after subtracting 76 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

After the division, we end up with 448.96052631 and a remainder of 4.4e-08.