95188 ÷ 49 
Our goal is to divide 95188 by 49.

Advancing to step 1:
When dividing 9 by 49, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 49

Going ahead to step 2:
If we divide 95 by 49, we get 1 and a remainder of 46.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 49 from 95 to get 46.
Include the next digit (1) from the dividend after 46, then repeat: 461 / 49

Let's proceed to step 3:
49 goes into 461 9 times with a remainder of 20.
Put 9 as the next digit of the answer. 
Result so far: 19.0
If we subtract 441 from 461, we get 20.
Include the next digit (8) from the dividend after 20, then repeat: 208 / 49

On to step 4:
When dividing 208 by 49, we get 4 with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 194.0
Subtracting 196 from 208 leaves us with 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 49

Step 5:
128 divided by 49 is 2 with a remainder of 30.
The next digit of our result is 2. 
Result so far: 1942.0
The remainder is 30 after subtracting 98 from 128.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 6:
49 can be fit into 300 6 times, resulting in a remainder of 6.
The number 6 becomes the next digit in our result. 
Result so far: 1942.6
Deduct 294 from 300 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
When dividing 60 by 49, we get 1 with a remainder of 11.
The next digit of our result is 1. 
Result so far: 1942.61
Subtract 49 from 60 to 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.

Let's proceed to step 8:
49 goes into 110 2 times with a remainder of 12.
The next digit of our result is 2. 
Result so far: 1942.612
If we take 98 away from 110, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 9:
When dividing 120 by 49, we get 2 with a remainder of 22.
The number 2 becomes the next digit in our result. 
Result so far: 1942.6122
If we take 98 away from 120, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The final outcome is 1942.6122, with a leftover of 0.00022.