We're dividing 150613 by 60 
Our goal is to divide 150613 by 60.

Step 1:
60 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 60

Let's proceed to step 2:
60 goes into 15 0 times with a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 15, we end up with 15.
Bring next digit (0) of the dividend behind the 15 and repeat the process: 150 / 60

Step 3:
60 goes into 150 2 times with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
The remainder is 30 after subtracting 120 from 150.
Take the next digit (6) from the dividend and append it to 30, then repeat: 306 / 60

Advancing to step 4:
306 divided by 60 is 5 with a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 25.0
Subtract 300 from 306 to get 6.
Fetch the next digit (1) from the dividend, attach it to 6 and continue: 61 / 60

Going ahead to step 5:
60 goes into 61 1 times with a remainder of 1.
The next digit of our result is 1. 
Result so far: 251.0
Subtract 60 from 61 to get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 60

Step 6:
60 goes into 13 0 times with a remainder of 13.
The next digit of our result is 0. 
Result so far: 2510.0
If we subtract 0 from 13, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Going ahead to step 7:
60 can be fit into 130 2 times, resulting in a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 2510.2
The remainder is 10 after subtracting 120 from 130.
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:
When dividing 100 by 60, we get 1 with a remainder of 40.
Use 1 as the next digit of our solution. 
Result so far: 2510.21
If we take 60 away from 100, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 9:
60 can be fit into 400 6 times, resulting in a remainder of 40.
Write down 6 as next digit of the result. 
Result so far: 2510.216
Deduct 360 from 400 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 10:
The number 60 fits into 400 6 times, leaving a remainder of 40.
Put 6 as the next digit of the answer. 
Result so far: 2510.2166
Subtracting 360 from 400 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

The quotient of the division is 2510.2166, and the remainder is 0.0004.