We're dividing 654377 by 17 
Let's see how many times 17 fits into 654377.

Let's proceed to step 1:
17 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Grab the next digit (5) from the dividend, add it to 6, then carry on: 65 / 17

Step 2:
17 goes into 65 3 times with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 3.0
Subtract 51 from 65 to get 14.
Bring next digit (4) of the dividend behind the 14 and repeat the process: 144 / 17

Step 3:
17 can be fit into 144 8 times, resulting in a remainder of 8.
Put 8 as the next digit of the answer. 
Result so far: 38.0
Subtract 136 from 144 to get 8.
Grab the next digit (3) from the dividend, add it to 8, then carry on: 83 / 17

Moving on to step 4:
When dividing 83 by 17, we get 4 with a remainder of 15.
Write down 4 as next digit of the result. 
Result so far: 384.0
Deduct 68 from 83 and we're left with 15.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 17

On to step 5:
When dividing 157 by 17, we get 9 with a remainder of 4.
Use 9 as the next digit of our solution. 
Result so far: 3849.0
Deduct 153 from 157 and we're left with 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 17

Going ahead to step 6:
17 can be fit into 47 2 times, resulting in a remainder of 13.
Write down 2 as next digit of the result. 
Result so far: 38492.0
If we subtract 34 from 47, 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.

Let's proceed to step 7:
The number 17 fits into 130 7 times, leaving a remainder of 11.
The number 7 becomes the next digit in our result. 
Result so far: 38492.7
If we subtract 119 from 130, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 8:
17 can be fit into 110 6 times, resulting in a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 38492.76
Subtract 102 from 110 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 9:
If we divide 80 by 17, we get 4 and a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 38492.764
The remainder is 12 after subtracting 68 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
17 goes into 120 7 times with a remainder of 1.
Record the quotient 7 as the next digit in the result. 
Result so far: 38492.7647
If we subtract 119 from 120, we get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 11:
17 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 38492.7647
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 12:
100 divided by 17 is 5 with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 38492.764705
If we subtract 85 from 100, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 13:
150 divided by 17 is 8 with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 38492.7647058
Subtract 136 from 150 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 14:
When dividing 140 by 17, we get 8 with a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 38492.76470588
Deduct 136 from 140 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 38492.76470588, and the remainder is 4e-09.