We're dividing 137106 by 95 
We want to figure out the number of times 137106 can be divided by 95.

Moving on to step 1:
95 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 95

Going ahead to step 2:
13 divided by 95 is 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Bring next digit (7) of the dividend behind the 13 and repeat the process: 137 / 95

Let's proceed to step 3:
95 can be fit into 137 1 times, resulting in a remainder of 42.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 95 away from 137, we end up with 42.
Grab the next digit (1) from the dividend, add it to 42, then carry on: 421 / 95

Advancing to step 4:
95 goes into 421 4 times with a remainder of 41.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Deduct 380 from 421 and we're left with 41.
Grab the next digit (0) from the dividend, add it to 41, then carry on: 410 / 95

Advancing to step 5:
If we divide 410 by 95, we get 4 and a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 144.0
The remainder is 30 after subtracting 380 from 410.
Take the next digit (6) from the dividend and append it to 30, then repeat: 306 / 95

Step 6:
95 can be fit into 306 3 times, resulting in a remainder of 21.
Put 3 as the next digit of the answer. 
Result so far: 1443.0
If we subtract 285 from 306, we get 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Step 7:
95 can be fit into 210 2 times, resulting in a remainder of 20.
Use 2 as the next digit of our solution. 
Result so far: 1443.2
If we take 190 away from 210, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
If we divide 200 by 95, we get 2 and a remainder of 10.
Write down 2 as next digit of the result. 
Result so far: 1443.22
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The final outcome is 1443.22, with a leftover of 0.01.