147961 ÷ 90 
Our goal is to divide 147961 by 90.

Moving on to step 1:
When dividing 1 by 90, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (4) from the dividend, attach it to 1 and continue: 14 / 90

Step 2:
When dividing 14 by 90, we get 0 with a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 14, we get 14.
Bring next digit (7) of the dividend behind the 14 and repeat the process: 147 / 90

Let's proceed to step 3:
90 goes into 147 1 times with a remainder of 57.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 90 from 147 to get 57.
Take the next digit (9) from the dividend and append it to 57, then repeat: 579 / 90

Advancing to step 4:
90 can be fit into 579 6 times, resulting in a remainder of 39.
Write down 6 as next digit of the result. 
Result so far: 16.0
Deduct 540 from 579 and we're left with 39.
Grab the next digit (6) from the dividend, add it to 39, then carry on: 396 / 90

Going ahead to step 5:
396 divided by 90 is 4 with a remainder of 36.
Put 4 as the next digit of the answer. 
Result so far: 164.0
The remainder is 36 after subtracting 360 from 396.
Grab the next digit (1) from the dividend, add it to 36, then carry on: 361 / 90

On to step 6:
361 divided by 90 is 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 1644.0
The remainder is 1 after subtracting 360 from 361.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 7:
90 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 1644.0
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 8:
The number 90 fits into 100 1 times, leaving a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1644.01
Subtracting 90 from 100 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 9:
The number 90 fits into 100 1 times, leaving a remainder of 10.
The next digit of our result is 1. 
Result so far: 1644.011
If we take 90 away from 100, we end up with 10.
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 1644.011, with a leftover of 0.001.