We look at the division of 619377 by 9 
Our goal is to divide 619377 by 9.

Going ahead to step 1:
9 can be fit into 6 0 times, resulting in a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Grab the next digit (1) from the dividend, add it to 6, then carry on: 61 / 9

Moving on to step 2:
When dividing 61 by 9, we get 6 with a remainder of 7.
Put 6 as the next digit of the answer. 
Result so far: 6.0
If we take 54 away from 61, we end up with 7.
Grab the next digit (9) from the dividend, add it to 7, then carry on: 79 / 9

Let's proceed to step 3:
9 can be fit into 79 8 times, resulting in a remainder of 7.
Put 8 as the next digit of the answer. 
Result so far: 68.0
If we take 72 away from 79, we end up with 7.
Bring next digit (3) of the dividend behind the 7 and repeat the process: 73 / 9

On to step 4:
73 divided by 9 is 8 with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 688.0
Subtracting 72 from 73 leaves us with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 9

Moving on to step 5:
9 can be fit into 17 1 times, resulting in a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 6881.0
The remainder is 8 after subtracting 9 from 17.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 9

On to step 6:
9 can be fit into 87 9 times, resulting in a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 68819.0
Subtracting 81 from 87 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 7:
If we divide 60 by 9, we get 6 and a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 68819.6
Subtracting 54 from 60 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
9 can be fit into 60 6 times, resulting in a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 68819.66
If we subtract 54 from 60, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

The quotient of the division is 68819.66, and the remainder is 0.006.