Long Division

Long Division:The long division can be better learned by keeping in mind the four steps of the process: 
1.) Divide
2.) Multiply
3.) Subtract
4.) Bring down 

And also by understanding the four parts of division: 

1.) Dividend: the number being divided 
2.) Divisor: the number which divides the dividend 
3.) Quotient: the number of parts the dividend has divided into 
4.) Remainder: any part of the dividend which left over 

Example: \(4325\div5\)

1. If you are dividing a number with a One Digit number, 

look at the left-most digit of the dividend, 
In our case left-most digit of dividend is 4 

2. If the left-most digit is smaller than the divisor, 
combine it with the number next right to it and put 0 in quotient. 
Now 4 is smaller than 5, 

so we will put 0 in quotient and combine 4 with the next digit to it which is 3 
and we will get a new number as 43. 

3. Divide: Now, check if 5 goes into 43? divide 43 lines in the group of 5




4. Multiply: find the closest and smallest number to 43 in the table of 5, which is:
\(5\times\mathbf{8}=\mathbf{40}\), 
(remember step 3 where we divided 40 lines in 8 group 
having 5 lines in each group and 3 were left over) 


5. Subtract: write 40 under the number 43 and subtract, after subtraction we got 3 


6. Bring down: the number we got in step 5 is smaller than the dividend, 

 so bring down the next digit of dividend and we got new number as 32 


7. Repeat: now repeat the steps from 3 to 6 as: the closest and smallest number to
32 is \(5\times\mathbf{6}=\mathbf{30}\), write 30 under 32 and subtract and after subtraction we got 2, which is smaller than 5, so bring down the next digit of dividend and we will get new number as 25 


8. Repeat: now repeat the steps from 3 to 6 as: the closest and smallest number to 25 is \(5\times\mathbf{5}=\mathbf{25}\), write 25 under 25 and subtract and after subtraction we will get 0. 



Note: Repeat the above steps until we got remainder 0 (Zero) or there is no digit left in dividend to bring down.