Let's divide 7369 by 7
Our goal is to divide 7369 by 7.

Going ahead to step 1:
If we divide 7 by 7, we get 1 and a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 7 from 7 to get 0.
Include the next digit (3) from the dividend after 0, then repeat: 3 / 7

Moving on to step 2:
The number 7 fits into 3 0 times, leaving a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 10.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (6) from the dividend, attach it to 3 and continue: 36 / 7

Going ahead to step 3:
The number 7 fits into 36 5 times, leaving a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 105.0
If we take 35 away from 36, we end up with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 7

Moving on to step 4:
When dividing 19 by 7, we get 2 with a remainder of 5.
The next digit of our result is 2. 
Result so far: 1052.0
Deduct 14 from 19 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.

Moving on to step 5:
If we divide 50 by 7, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 1052.7
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 6:
If we divide 10 by 7, we get 1 and a remainder of 3.
Use 1 as the next digit of our solution. 
Result so far: 1052.71
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.

Advancing to step 7:
7 goes into 30 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 1052.714
Subtract 28 from 30 to 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.

Advancing to step 8:
If we divide 20 by 7, we get 2 and a remainder of 6.
Write down 2 as next digit of the result. 
Result so far: 1052.7142
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 9:
7 goes into 60 8 times with a remainder of 4.
Write down 8 as next digit of the result. 
Result so far: 1052.71428
If we subtract 56 from 60, we 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 10:
The number 7 fits into 40 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 1052.714285
If we subtract 35 from 40, we 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.

Step 11:
When dividing 50 by 7, we get 7 with a remainder of 1.
The next digit of our result is 7. 
Result so far: 1052.7142857
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.

Step 12:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Record the quotient 1 as the next digit in the result. 
Result so far: 1052.71428571
Subtracting 7 from 10 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.

Our division results in 1052.71428571 with a remaining 3e-09.