538661 ÷ 7 
Our goal is to divide 538661 by 7.

Step 1:
If we divide 5 by 7, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (3) from the dividend, add it to 5, then carry on: 53 / 7

Advancing to step 2:
7 goes into 53 7 times with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 7.0
If we subtract 49 from 53, we get 4.
Fetch the next digit (8) from the dividend, attach it to 4 and continue: 48 / 7

Moving on to step 3:
The number 7 fits into 48 6 times, leaving a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 76.0
Deduct 42 from 48 and we're left with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 7

Let's proceed to step 4:
When dividing 66 by 7, we get 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 769.0
Subtracting 63 from 66 leaves us with 3.
Take the next digit (6) from the dividend and append it to 3, then repeat: 36 / 7

On to step 5:
If we divide 36 by 7, we get 5 and a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 7695.0
If we take 35 away from 36, we end up with 1.
Include the next digit (1) from the dividend after 1, then repeat: 11 / 7

Going ahead to step 6:
11 divided by 7 is 1 with a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 76951.0
Subtract 7 from 11 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 7:
40 divided by 7 is 5 with a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 76951.5
If we take 35 away from 40, we end up 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 8:
If we divide 50 by 7, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 76951.57
If we take 49 away from 50, we end up 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 9:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 76951.571
Deduct 7 from 10 and we're left 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.

Going ahead to step 10:
7 goes into 30 4 times with a remainder of 2.
The next digit of our result is 4. 
Result so far: 76951.5714
If we subtract 28 from 30, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 11:
20 divided by 7 is 2 with a remainder of 6.
The next digit of our result is 2. 
Result so far: 76951.57142
If we take 14 away from 20, 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.

Moving on to step 12:
When dividing 60 by 7, we get 8 with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 76951.571428
Subtract 56 from 60 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
7 goes into 40 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 76951.5714285
Subtracting 35 from 40 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 14:
When dividing 50 by 7, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 76951.57142857
If we take 49 away from 50, we end up 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 76951.57142857, and the remainder is 1e-09.