We look at the division of 663101 by 7 
We're looking to find how many times 7 goes into 663101.

Advancing to step 1:
If we divide 6 by 7, we get 0 and 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 (6) from the dividend, add it to 6, then carry on: 66 / 7

Moving on to step 2:
When dividing 66 by 7, we get 9 with a remainder of 3.
The next digit of our result is 9. 
Result so far: 9.0
The remainder is 3 after subtracting 63 from 66.
Bring next digit (3) of the dividend behind the 3 and repeat the process: 33 / 7

Moving on to step 3:
7 can be fit into 33 4 times, resulting in a remainder of 5.
Record the quotient 4 as the next digit in the result. 
Result so far: 94.0
The remainder is 5 after subtracting 28 from 33.
Include the next digit (1) from the dividend after 5, then repeat: 51 / 7

Moving on to step 4:
If we divide 51 by 7, we get 7 and a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 947.0
Subtract 49 from 51 to get 2.
Grab the next digit (0) from the dividend, add it to 2, then carry on: 20 / 7

Advancing to step 5:
When dividing 20 by 7, we get 2 with a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 9472.0
Deduct 14 from 20 and we're left with 6.
Take the next digit (1) from the dividend and append it to 6, then repeat: 61 / 7

Advancing to step 6:
61 divided by 7 is 8 with a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 94728.0
Subtracting 56 from 61 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
When dividing 50 by 7, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 94728.7
Deduct 49 from 50 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.

Moving on to step 8:
7 goes into 10 1 times with a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 94728.71
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 9:
30 divided by 7 is 4 with a remainder of 2.
Write down 4 as next digit of the result. 
Result so far: 94728.714
Subtracting 28 from 30 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 10:
When dividing 20 by 7, we get 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 94728.7142
Subtracting 14 from 20 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 11:
7 goes into 60 8 times with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 94728.71428
The remainder is 4 after subtracting 56 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 12:
When dividing 40 by 7, we get 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 94728.714285
Deduct 35 from 40 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
If we divide 50 by 7, we get 7 and a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 94728.7142857
Subtracting 49 from 50 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 14:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 94728.71428571
Subtract 7 from 10 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

The quotient of the division is 94728.71428571, and the remainder is 3e-09.