We look at the division of 437172 by 7 
Our goal is to divide 437172 by 7.

Advancing to step 1:
4 divided by 7 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 7

On to step 2:
If we divide 43 by 7, we get 6 and a remainder of 1.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
Subtract 42 from 43 to get 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 7

Going ahead to step 3:
The number 7 fits into 17 2 times, leaving a remainder of 3.
Use 2 as the next digit of our solution. 
Result so far: 62.0
The remainder is 3 after subtracting 14 from 17.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 7

On to step 4:
31 divided by 7 is 4 with a remainder of 3.
The next digit of our result is 4. 
Result so far: 624.0
The remainder is 3 after subtracting 28 from 31.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 7

Moving on to step 5:
7 goes into 37 5 times with a remainder of 2.
Use 5 as the next digit of our solution. 
Result so far: 6245.0
Deduct 35 from 37 and we're left with 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 7

On to step 6:
7 goes into 22 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 62453.0
Subtracting 21 from 22 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.

Advancing to step 7:
7 can be fit into 10 1 times, resulting in a remainder of 3.
Put 1 as the next digit of the answer. 
Result so far: 62453.1
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.

On to step 8:
30 divided by 7 is 4 with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 62453.14
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.

Advancing to step 9:
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: 62453.142
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.

Step 10:
When dividing 60 by 7, we get 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 62453.1428
Subtracting 56 from 60 leaves us 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.

Step 11:
The number 7 fits into 40 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 62453.14285
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.

Going ahead to step 12:
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: 62453.142857
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.

Moving on to step 13:
7 can be fit into 10 1 times, resulting in a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 62453.1428571
The remainder is 3 after subtracting 7 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 14:
7 goes into 30 4 times with a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 62453.14285714
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.

After the division, we end up with 62453.14285714 and a remainder of 2e-09.