We look at the division of 953914 by 61 
We want to figure out the number of times 953914 can be divided by 61.

Going ahead to step 1:
61 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 61

Let's proceed to step 2:
When dividing 95 by 61, we get 1 with a remainder of 34.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 61 from 95 leaves us with 34.
Take the next digit (3) from the dividend and append it to 34, then repeat: 343 / 61

Going ahead to step 3:
343 divided by 61 is 5 with a remainder of 38.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
Subtracting 305 from 343 leaves us with 38.
Bring next digit (9) of the dividend behind the 38 and repeat the process: 389 / 61

Advancing to step 4:
When dividing 389 by 61, we get 6 with a remainder of 23.
Use 6 as the next digit of our solution. 
Result so far: 156.0
Subtract 366 from 389 to get 23.
Include the next digit (1) from the dividend after 23, then repeat: 231 / 61

Step 5:
61 can be fit into 231 3 times, resulting in a remainder of 48.
Write down 3 as next digit of the result. 
Result so far: 1563.0
If we subtract 183 from 231, we get 48.
Take the next digit (4) from the dividend and append it to 48, then repeat: 484 / 61

Advancing to step 6:
When dividing 484 by 61, we get 7 with a remainder of 57.
Put 7 as the next digit of the answer. 
Result so far: 15637.0
The remainder is 57 after subtracting 427 from 484.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 7:
61 can be fit into 570 9 times, resulting in a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 15637.9
If we take 549 away from 570, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

On to step 8:
When dividing 210 by 61, we get 3 with a remainder of 27.
The next digit of our result is 3. 
Result so far: 15637.93
Subtracting 183 from 210 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 9:
270 divided by 61 is 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 15637.934
The remainder is 26 after subtracting 244 from 270.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 10:
260 divided by 61 is 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 15637.9344
If we take 244 away from 260, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Our division results in 15637.9344 with a remaining 0.00016.