We're dividing 953499 by 61 
We want to divide 953499 by 61.

On to step 1:
When dividing 9 by 61, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 61

Going ahead to step 2:
95 divided by 61 is 1 with a remainder of 34.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 61 from 95 and we're left with 34.
Fetch the next digit (3) from the dividend, attach it to 34 and continue: 343 / 61

Let's proceed to step 3:
The number 61 fits into 343 5 times, leaving a remainder of 38.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we subtract 305 from 343, we get 38.
Include the next digit (4) from the dividend after 38, then repeat: 384 / 61

Let's proceed to step 4:
384 divided by 61 is 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 156.0
If we take 366 away from 384, we end up with 18.
Bring next digit (9) of the dividend behind the 18 and repeat the process: 189 / 61

Step 5:
The number 61 fits into 189 3 times, leaving a remainder of 6.
Write down 3 as next digit of the result. 
Result so far: 1563.0
The remainder is 6 after subtracting 183 from 189.
Take the next digit (9) from the dividend and append it to 6, then repeat: 69 / 61

On to step 6:
69 divided by 61 is 1 with a remainder of 8.
The next digit of our result is 1. 
Result so far: 15631.0
If we take 61 away from 69, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 7:
When dividing 80 by 61, we get 1 with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 15631.1
Subtract 61 from 80 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Let's proceed to step 8:
When dividing 190 by 61, we get 3 with a remainder of 7.
Put 3 as the next digit of the answer. 
Result so far: 15631.13
Subtracting 183 from 190 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 9:
61 goes into 70 1 times with a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 15631.131
Subtracting 61 from 70 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 10:
61 can be fit into 90 1 times, resulting in a remainder of 29.
Put 1 as the next digit of the answer. 
Result so far: 15631.1311
The remainder is 29 after subtracting 61 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

In conclusion, the division gives 15631.1311 with a balance of 0.00029.