We're dividing 125548 by 90 
Our goal is to divide 125548 by 90.

Advancing to step 1:
90 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 90

Moving on to step 2:
90 goes into 12 0 times with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 90

On to step 3:
If we divide 125 by 90, we get 1 and a remainder of 35.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 90 from 125 and we're left with 35.
Append the next digit (5) from the dividend to 35 and continue with: 355 / 90

Step 4:
When dividing 355 by 90, we get 3 with a remainder of 85.
The number 3 becomes the next digit in our result. 
Result so far: 13.0
Subtract 270 from 355 to get 85.
Bring next digit (4) of the dividend behind the 85 and repeat the process: 854 / 90

Step 5:
90 goes into 854 9 times with a remainder of 44.
Put 9 as the next digit of the answer. 
Result so far: 139.0
If we take 810 away from 854, we end up with 44.
Include the next digit (8) from the dividend after 44, then repeat: 448 / 90

Let's proceed to step 6:
When dividing 448 by 90, we get 4 with a remainder of 88.
Record the quotient 4 as the next digit in the result. 
Result so far: 1394.0
Deduct 360 from 448 and we're left with 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

Going ahead to step 7:
The number 90 fits into 880 9 times, leaving a remainder of 70.
Record the quotient 9 as the next digit in the result. 
Result so far: 1394.9
Subtracting 810 from 880 leaves us with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 8:
If we divide 700 by 90, we get 7 and a remainder of 70.
Write down 7 as next digit of the result. 
Result so far: 1394.97
Subtract 630 from 700 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Let's proceed to step 9:
If we divide 700 by 90, we get 7 and a remainder of 70.
Use 7 as the next digit of our solution. 
Result so far: 1394.977
Deduct 630 from 700 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

The quotient of the division is 1394.977, and the remainder is 0.007.