Let's divide 19351 by 7
Our goal is to divide 19351 by 7.

Going ahead to step 1:
7 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (9) from the dividend and append it to 1, then repeat: 19 / 7

Advancing to step 2:
When dividing 19 by 7, we get 2 with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtract 14 from 19 to get 5.
Bring next digit (3) of the dividend behind the 5 and repeat the process: 53 / 7

Going ahead to step 3:
7 can be fit into 53 7 times, resulting in a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
Subtract 49 from 53 to get 4.
Include the next digit (5) from the dividend after 4, then repeat: 45 / 7

Moving on to step 4:
If we divide 45 by 7, we get 6 and a remainder of 3.
The next digit of our result is 6. 
Result so far: 276.0
If we take 42 away from 45, we end up with 3.
Append the next digit (1) from the dividend to 3 and continue with: 31 / 7

Going ahead to step 5:
If we divide 31 by 7, we get 4 and a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 2764.0
If we take 28 away from 31, we end up 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 6:
If we divide 30 by 7, we get 4 and a remainder of 2.
Use 4 as the next digit of our solution. 
Result so far: 2764.4
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.

Advancing to step 7:
When dividing 20 by 7, we get 2 with a remainder of 6.
Record the quotient 2 as the next digit in the result. 
Result so far: 2764.42
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.

Going ahead to step 8:
7 can be fit into 60 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 2764.428
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.

Moving on to step 9:
40 divided by 7 is 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 2764.4285
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.

Let's proceed to step 10:
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: 2764.42857
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 11:
10 divided by 7 is 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 2764.428571
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.

Going ahead to step 12:
7 can be fit into 30 4 times, resulting in a remainder of 2.
Record the quotient 4 as the next digit in the result. 
Result so far: 2764.4285714
Deduct 28 from 30 and we're left 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.

Let's proceed to step 13:
7 can be fit into 20 2 times, resulting in a remainder of 6.
The number 2 becomes the next digit in our result. 
Result so far: 2764.42857142
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.

In conclusion, the division gives 2764.42857142 with a balance of 6e-09.