We're dividing 776377 by 17 
Let's see how many times 17 fits into 776377.

Step 1:
The number 17 fits into 7 0 times, leaving a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (7) from the dividend and append it to 7, then repeat: 77 / 17

Advancing to step 2:
17 goes into 77 4 times with a remainder of 9.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 9 after subtracting 68 from 77.
Take the next digit (6) from the dividend and append it to 9, then repeat: 96 / 17

Going ahead to step 3:
96 divided by 17 is 5 with a remainder of 11.
The number 5 becomes the next digit in our result. 
Result so far: 45.0
If we subtract 85 from 96, we get 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 17

Advancing to step 4:
When dividing 113 by 17, we get 6 with a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 456.0
Subtract 102 from 113 to get 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 17

Going ahead to step 5:
If we divide 117 by 17, we get 6 and a remainder of 15.
The number 6 becomes the next digit in our result. 
Result so far: 4566.0
The remainder is 15 after subtracting 102 from 117.
Append the next digit (7) from the dividend to 15 and continue with: 157 / 17

Step 6:
If we divide 157 by 17, we get 9 and a remainder of 4.
Record the quotient 9 as the next digit in the result. 
Result so far: 45669.0
The remainder is 4 after subtracting 153 from 157.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 7:
The number 17 fits into 40 2 times, leaving a remainder of 6.
The next digit of our result is 2. 
Result so far: 45669.2
If we take 34 away from 40, we end up 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 8:
60 divided by 17 is 3 with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 45669.23
Subtracting 51 from 60 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 9:
90 divided by 17 is 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 45669.235
Subtract 85 from 90 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
The number 17 fits into 50 2 times, leaving a remainder of 16.
Record the quotient 2 as the next digit in the result. 
Result so far: 45669.2352
Subtract 34 from 50 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 11:
The number 17 fits into 160 9 times, leaving a remainder of 7.
Write down 9 as next digit of the result. 
Result so far: 45669.23529
If we take 153 away from 160, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 12:
If we divide 70 by 17, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 45669.235294
Subtracting 68 from 70 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
If we divide 20 by 17, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 45669.2352941
Subtracting 17 from 20 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 14:
When dividing 30 by 17, we get 1 with a remainder of 13.
The next digit of our result is 1. 
Result so far: 45669.23529411
Subtract 17 from 30 to 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.

In conclusion, the division gives 45669.23529411 with a balance of 1.3e-08.