We're dividing 95142 by 61 
We want to figure out the number of times 95142 can be divided by 61.

Advancing to step 1:
61 can be fit into 9 0 times, resulting in 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.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 61

Advancing to step 2:
The number 61 fits into 95 1 times, leaving a remainder of 34.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 61 from 95 and we're left with 34.
Include the next digit (1) from the dividend after 34, then repeat: 341 / 61

Moving on to step 3:
61 can be fit into 341 5 times, resulting in a remainder of 36.
Use 5 as the next digit of our solution. 
Result so far: 15.0
If we take 305 away from 341, we end up with 36.
Grab the next digit (4) from the dividend, add it to 36, then carry on: 364 / 61

Going ahead to step 4:
61 goes into 364 5 times with a remainder of 59.
The next digit of our result is 5. 
Result so far: 155.0
Subtract 305 from 364 to get 59.
Include the next digit (2) from the dividend after 59, then repeat: 592 / 61

Step 5:
When dividing 592 by 61, we get 9 with a remainder of 43.
The number 9 becomes the next digit in our result. 
Result so far: 1559.0
If we take 549 away from 592, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Let's proceed to step 6:
61 goes into 430 7 times with a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 1559.7
Deduct 427 from 430 and we're left with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
When dividing 30 by 61, we get 0 with a remainder of 30.
Record the quotient 0 as the next digit in the result. 
Result so far: 1559.7
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Advancing to step 8:
61 goes into 300 4 times with a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 1559.704
Subtract 244 from 300 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 9:
560 divided by 61 is 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 1559.7049
If we subtract 549 from 560, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 10:
110 divided by 61 is 1 with a remainder of 49.
The next digit of our result is 1. 
Result so far: 1559.70491
If we subtract 61 from 110, we get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Going ahead to step 11:
The number 61 fits into 490 8 times, leaving a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 1559.704918
If we subtract 488 from 490, 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.

On to step 12:
20 divided by 61 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 1559.704918
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 13:
61 can be fit into 200 3 times, resulting in a remainder of 17.
The next digit of our result is 3. 
Result so far: 1559.70491803
If we subtract 183 from 200, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

In conclusion, the division gives 1559.70491803 with a balance of 1.7e-08.