We look at the division of 74211121 by 7 
Our goal is to divide 74211121 by 7.

On to step 1:
If we divide 7 by 7, we get 1 and a remainder of 0.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 7 from 7 and we're left with 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 7

Step 2:
When dividing 4 by 7, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 7

Going ahead to step 3:
When dividing 42 by 7, we get 6 with a remainder of 0.
Record the quotient 6 as the next digit in the result. 
Result so far: 106.0
If we subtract 42 from 42, we get 0.
Bring next digit (1) of the dividend behind the 0 and repeat the process: 1 / 7

Let's proceed to step 4:
The number 7 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 1060.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 7

Step 5:
If we divide 11 by 7, we get 1 and a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 10601.0
Deduct 7 from 11 and we're left with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 7

Advancing to step 6:
7 goes into 41 5 times with a remainder of 6.
The number 5 becomes the next digit in our result. 
Result so far: 106015.0
The remainder is 6 after subtracting 35 from 41.
Append the next digit (2) from the dividend to 6 and continue with: 62 / 7

Going ahead to step 7:
7 goes into 62 8 times with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 1060158.0
Subtracting 56 from 62 leaves us with 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 7

Step 8:
61 divided by 7 is 8 with a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 10601588.0
Subtract 56 from 61 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 9:
When dividing 50 by 7, we get 7 with a remainder of 1.
Write down 7 as next digit of the result. 
Result so far: 10601588.7
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.

Let's proceed to step 10:
The number 7 fits into 10 1 times, leaving a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 10601588.71
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 11:
7 goes into 30 4 times with a remainder of 2.
Put 4 as the next digit of the answer. 
Result so far: 10601588.714
If we take 28 away from 30, we end up 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.

Moving on to step 12:
20 divided by 7 is 2 with a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 10601588.7142
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.

On to step 13:
60 divided by 7 is 8 with a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 10601588.71428
Deduct 56 from 60 and we're left 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.

On to step 14:
If we divide 40 by 7, we get 5 and a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 10601588.714285
The remainder is 5 after subtracting 35 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 15:
The number 7 fits into 50 7 times, leaving a remainder of 1.
The next digit of our result is 7. 
Result so far: 10601588.7142857
Subtract 49 from 50 to get 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 16:
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: 10601588.71428571
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.

After the division, we end up with 10601588.71428571 and a remainder of 3e-09.