Let's divide 521617 by 7
Our goal is to divide 521617 by 7.

Step 1:
5 divided by 7 is 0 with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 7

Advancing to step 2:
The number 7 fits into 52 7 times, leaving a remainder of 3.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtract 49 from 52 to get 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 7

On to step 3:
7 goes into 31 4 times with a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 74.0
Subtract 28 from 31 to get 3.
Append the next digit (6) from the dividend to 3 and continue with: 36 / 7

Step 4:
7 can be fit into 36 5 times, resulting in a remainder of 1.
Write down 5 as next digit of the result. 
Result so far: 745.0
If we subtract 35 from 36, we get 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 7

Step 5:
The number 7 fits into 11 1 times, leaving a remainder of 4.
The next digit of our result is 1. 
Result so far: 7451.0
If we subtract 7 from 11, we get 4.
Fetch the next digit (7) from the dividend, attach it to 4 and continue: 47 / 7

Moving on to step 6:
If we divide 47 by 7, we get 6 and a remainder of 5.
Use 6 as the next digit of our solution. 
Result so far: 74516.0
Subtracting 42 from 47 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.

On to step 7:
The number 7 fits into 50 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 74516.7
The remainder is 1 after subtracting 49 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 8:
When dividing 10 by 7, we get 1 with a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 74516.71
If we subtract 7 from 10, we 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.

Going ahead to step 9:
7 can be fit into 30 4 times, resulting in a remainder of 2.
The next digit of our result is 4. 
Result so far: 74516.714
The remainder is 2 after subtracting 28 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 10:
The number 7 fits into 20 2 times, leaving a remainder of 6.
Put 2 as the next digit of the answer. 
Result so far: 74516.7142
Subtract 14 from 20 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 11:
The number 7 fits into 60 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 74516.71428
If we take 56 away from 60, we end up 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.

Let's proceed to step 12:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 74516.714285
Subtract 35 from 40 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.

Going ahead to step 13:
50 divided by 7 is 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 74516.7142857
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.

Step 14:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 74516.71428571
If we subtract 7 from 10, we 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 74516.71428571, and the remainder is 3e-09.