917641 ÷ 3 
Our goal is to divide 917641 by 3.

Going ahead to step 1:
If we divide 9 by 3, we get 3 and a remainder of 0.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 9 from 9, we get 0.
Grab the next digit (1) from the dividend, add it to 0, then carry on: 1 / 3

Advancing to step 2:
3 can be fit into 1 0 times, resulting in a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 3

Step 3:
The number 3 fits into 17 5 times, leaving a remainder of 2.
Write down 5 as next digit of the result. 
Result so far: 305.0
If we take 15 away from 17, we end up with 2.
Fetch the next digit (6) from the dividend, attach it to 2 and continue: 26 / 3

Step 4:
When dividing 26 by 3, we get 8 with a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 3058.0
If we take 24 away from 26, we end up with 2.
Grab the next digit (4) from the dividend, add it to 2, then carry on: 24 / 3

Going ahead to step 5:
The number 3 fits into 24 8 times, leaving a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 30588.0
Subtract 24 from 24 to get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 3

On to step 6:
3 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 305880.0
The remainder is 1 after subtracting 0 from 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 7:
3 can be fit into 10 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 305880.3
Subtracting 9 from 10 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 8:
If we divide 10 by 3, we get 3 and a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 305880.33
Deduct 9 from 10 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The quotient of the division is 305880.33, and the remainder is 0.001.