We look at the division of 277122 by 45 
We're looking to find how many times 45 goes into 277122.

Let's proceed to step 1:
2 divided by 45 is 0 with a remainder of 2.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 2 and we're left with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 45

Advancing to step 2:
The number 45 fits into 27 0 times, leaving a remainder of 27.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 27, we get 27.
Include the next digit (7) from the dividend after 27, then repeat: 277 / 45

Advancing to step 3:
When dividing 277 by 45, we get 6 with a remainder of 7.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 270 from 277 and we're left with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 45

Going ahead to step 4:
When dividing 71 by 45, we get 1 with a remainder of 26.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Subtracting 45 from 71 leaves us with 26.
Grab the next digit (2) from the dividend, add it to 26, then carry on: 262 / 45

Moving on to step 5:
The number 45 fits into 262 5 times, leaving a remainder of 37.
Put 5 as the next digit of the answer. 
Result so far: 615.0
Subtracting 225 from 262 leaves us with 37.
Fetch the next digit (2) from the dividend, attach it to 37 and continue: 372 / 45

Moving on to step 6:
The number 45 fits into 372 8 times, leaving a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6158.0
Subtracting 360 from 372 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 7:
The number 45 fits into 120 2 times, leaving a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 6158.2
Subtracting 90 from 120 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
45 goes into 300 6 times with a remainder of 30.
Put 6 as the next digit of the answer. 
Result so far: 6158.26
If we subtract 270 from 300, we 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.

Step 9:
If we divide 300 by 45, we get 6 and a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 6158.266
Subtracting 270 from 300 leaves us with 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 6158.266, and the remainder is 0.003.