341137 ÷ 4 
We want to divide 341137 by 4.

Moving on to step 1:
4 goes into 3 0 times 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.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 4

Let's proceed to step 2:
34 divided by 4 is 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 2 after subtracting 32 from 34.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 4

On to step 3:
4 goes into 21 5 times with 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.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 4

Let's proceed to step 4:
The number 4 fits into 11 2 times, leaving a remainder of 3.
The next digit of our result is 2. 
Result so far: 852.0
Subtracting 8 from 11 leaves us with 3.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 4

Moving on to step 5:
If we divide 33 by 4, we get 8 and a remainder of 1.
Record the quotient 8 as the next digit in the result. 
Result so far: 8528.0
Subtract 32 from 33 to get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 4

Step 6:
The number 4 fits into 17 4 times, leaving a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 85284.0
The remainder is 1 after subtracting 16 from 17.
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 7:
When dividing 10 by 4, we get 2 with a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 85284.2
If we subtract 8 from 10, 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 8:
The number 4 fits into 20 5 times, leaving a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 85284.25
The remainder is 0 after subtracting 20 from 20.
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 9:
4 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 85284.25
If we subtract 0 from 0, we 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 10:
4 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 85284.25
Subtract 0 from 0 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.

In conclusion, the division gives 85284.25 with a balance of 0.0.