95348941 ÷ 514 
Our goal is to divide 95348941 by 514.

Going ahead to step 1:
9 divided by 514 is 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 514

On to step 2:
95 divided by 514 is 0 with a remainder of 95.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 95 and we're left with 95.
Append the next digit (3) from the dividend to 95 and continue with: 953 / 514

Moving on to step 3:
If we divide 953 by 514, we get 1 and a remainder of 439.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 514 from 953 to get 439.
Grab the next digit (4) from the dividend, add it to 439, then carry on: 4394 / 514

Let's proceed to step 4:
If we divide 4394 by 514, we get 8 and a remainder of 282.
The number 8 becomes the next digit in our result. 
Result so far: 18.0
The remainder is 282 after subtracting 4112 from 4394.
Append the next digit (8) from the dividend to 282 and continue with: 2828 / 514

Advancing to step 5:
514 can be fit into 2828 5 times, resulting in a remainder of 258.
Write down 5 as next digit of the result. 
Result so far: 185.0
If we take 2570 away from 2828, we end up with 258.
Append the next digit (9) from the dividend to 258 and continue with: 2589 / 514

Advancing to step 6:
The number 514 fits into 2589 5 times, leaving a remainder of 19.
Record the quotient 5 as the next digit in the result. 
Result so far: 1855.0
If we subtract 2570 from 2589, we get 19.
Fetch the next digit (4) from the dividend, attach it to 19 and continue: 194 / 514

Step 7:
If we divide 194 by 514, we get 0 and a remainder of 194.
Record the quotient 0 as the next digit in the result. 
Result so far: 18550.0
If we subtract 0 from 194, we get 194.
Grab the next digit (1) from the dividend, add it to 194, then carry on: 1941 / 514

On to step 8:
When dividing 1941 by 514, we get 3 with a remainder of 399.
Use 3 as the next digit of our solution. 
Result so far: 185503.0
Subtract 1542 from 1941 to get 399.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3990, and continue the process.

Moving on to step 9:
When dividing 3990 by 514, we get 7 with a remainder of 392.
Record the quotient 7 as the next digit in the result. 
Result so far: 185503.7
The remainder is 392 after subtracting 3598 from 3990.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

Moving on to step 10:
514 can be fit into 3920 7 times, resulting in a remainder of 322.
The number 7 becomes the next digit in our result. 
Result so far: 185503.77
Subtracting 3598 from 3920 leaves us with 322.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3220, and continue the process.

In conclusion, the division gives 185503.77 with a balance of 0.322.