We're dividing 185138 by 94 
Our goal is to divide 185138 by 94.

Moving on to step 1:
1 divided by 94 is 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (8) from the dividend, attach it to 1 and continue: 18 / 94

Going ahead to step 2:
The number 94 fits into 18 0 times, leaving a remainder of 18.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 18 leaves us with 18.
Append the next digit (5) from the dividend to 18 and continue with: 185 / 94

Step 3:
185 divided by 94 is 1 with a remainder of 91.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 94 from 185 and we're left with 91.
Bring next digit (1) of the dividend behind the 91 and repeat the process: 911 / 94

Let's proceed to step 4:
The number 94 fits into 911 9 times, leaving a remainder of 65.
Use 9 as the next digit of our solution. 
Result so far: 19.0
The remainder is 65 after subtracting 846 from 911.
Fetch the next digit (3) from the dividend, attach it to 65 and continue: 653 / 94

Advancing to step 5:
When dividing 653 by 94, we get 6 with a remainder of 89.
The number 6 becomes the next digit in our result. 
Result so far: 196.0
Subtract 564 from 653 to get 89.
Take the next digit (8) from the dividend and append it to 89, then repeat: 898 / 94

Advancing to step 6:
If we divide 898 by 94, we get 9 and a remainder of 52.
Use 9 as the next digit of our solution. 
Result so far: 1969.0
The remainder is 52 after subtracting 846 from 898.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 7:
94 goes into 520 5 times with a remainder of 50.
Put 5 as the next digit of the answer. 
Result so far: 1969.5
Deduct 470 from 520 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 8:
If we divide 500 by 94, we get 5 and a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 1969.55
Subtract 470 from 500 to get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The quotient of the division is 1969.55, and the remainder is 0.03.