We look at the division of 150603 by 61 
We want to divide 150603 by 61.

On to step 1:
61 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 61

Going ahead to step 2:
15 divided by 61 is 0 with a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 15 and we're left with 15.
Fetch the next digit (0) from the dividend, attach it to 15 and continue: 150 / 61

Let's proceed to step 3:
When dividing 150 by 61, we get 2 with a remainder of 28.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 122 from 150 and we're left with 28.
Append the next digit (6) from the dividend to 28 and continue with: 286 / 61

Advancing to step 4:
286 divided by 61 is 4 with a remainder of 42.
Write down 4 as next digit of the result. 
Result so far: 24.0
The remainder is 42 after subtracting 244 from 286.
Append the next digit (0) from the dividend to 42 and continue with: 420 / 61

Let's proceed to step 5:
The number 61 fits into 420 6 times, leaving a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 246.0
Subtract 366 from 420 to get 54.
Bring next digit (3) of the dividend behind the 54 and repeat the process: 543 / 61

Moving on to step 6:
When dividing 543 by 61, we get 8 with a remainder of 55.
Record the quotient 8 as the next digit in the result. 
Result so far: 2468.0
Subtracting 488 from 543 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Moving on to step 7:
61 can be fit into 550 9 times, resulting in a remainder of 1.
The number 9 becomes the next digit in our result. 
Result so far: 2468.9
The remainder is 1 after subtracting 549 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
61 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 2468.9
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.

Going ahead to step 9:
The number 61 fits into 100 1 times, leaving a remainder of 39.
Put 1 as the next digit of the answer. 
Result so far: 2468.901
If we subtract 61 from 100, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

On to step 10:
390 divided by 61 is 6 with a remainder of 24.
The next digit of our result is 6. 
Result so far: 2468.9016
Subtract 366 from 390 to get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 11:
61 goes into 240 3 times with a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 2468.90163
Deduct 183 from 240 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

On to step 12:
61 goes into 570 9 times with a remainder of 21.
Write down 9 as next digit of the result. 
Result so far: 2468.901639
Subtracting 549 from 570 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 13:
61 can be fit into 210 3 times, resulting in a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 2468.9016393
Deduct 183 from 210 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 14:
270 divided by 61 is 4 with a remainder of 26.
Record the quotient 4 as the next digit in the result. 
Result so far: 2468.90163934
If we take 244 away from 270, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

The quotient of the division is 2468.90163934, and the remainder is 2.6e-08.