12377 ÷ 34 
Our goal is to divide 12377 by 34.

Advancing to step 1:
When dividing 1 by 34, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 34

Moving on to step 2:
12 divided by 34 is 0 with a remainder of 12.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Bring next digit (3) of the dividend behind the 12 and repeat the process: 123 / 34

On to step 3:
34 goes into 123 3 times with a remainder of 21.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 102 away from 123, we end up with 21.
Append the next digit (7) from the dividend to 21 and continue with: 217 / 34

Going ahead to step 4:
When dividing 217 by 34, we get 6 with a remainder of 13.
Put 6 as the next digit of the answer. 
Result so far: 36.0
If we subtract 204 from 217, we get 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 34

Going ahead to step 5:
137 divided by 34 is 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 364.0
If we subtract 136 from 137, 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.

Advancing to step 6:
The number 34 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 364.0
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 7:
If we divide 100 by 34, we get 2 and a remainder of 32.
Write down 2 as next digit of the result. 
Result so far: 364.02
Deduct 68 from 100 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Step 8:
When dividing 320 by 34, we get 9 with a remainder of 14.
Use 9 as the next digit of our solution. 
Result so far: 364.029
Subtract 306 from 320 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 9:
When dividing 140 by 34, we get 4 with a remainder of 4.
Write down 4 as next digit of the result. 
Result so far: 364.0294
Subtract 136 from 140 to 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.

Let's proceed to step 10:
34 goes into 40 1 times with a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 364.02941
Deduct 34 from 40 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 11:
The number 34 fits into 60 1 times, leaving a remainder of 26.
Put 1 as the next digit of the answer. 
Result so far: 364.029411
Subtracting 34 from 60 leaves us with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 364.029411 with a balance of 2.6e-06.