What we will learn: Using the long division method to divide large numbers
To divide large numbers use the long division method. Unlike other arithmetic operations, long division moves from left to right, which means the division operation starts from the leftmost digit. The long multi-digit number is broken into small division problems using this method.
Step 1: Write dividend(8306, 2169) inside the division symbol on the right side. Write divisor(6, 3) outside the division symbol on the left side.
Step 2: In case 1, start with the first digit from the left side of the dividend 8306. It is 8. Find out how many 6 is equal or almost equal to 8 or in other words how many 6 fits into 8. The answer is 1. Therefore 6 times 1 is 6. Subtract 6 from 8 to get the remainder as 2. Bring the next digit '3' down to make the new dividend as 23.
Step 3: Find out how many 6 equals 23. 6 three times is 18. Write 3 next to 1 and subtract 18 from 23 to get the remainder as 5.
bring down 0 to get the next dividend as 50. How many 6 fit in 50. The answer is 8. Write 8 next to 3 and subtract 48 from 50. The remainder is 2.
Step 4: Bring down the last digit 6, to get the next dividend as 26. How many 6 is almost equal to 26? The answer is 4. Write 4 next to 8 and subtract 24 from 26 to get the remainder as 2
Let's try to solve the second problem- 2169 ÷ 3
As the leftmost digit is 2, which is less than the divisor 3, therefore consider '21' as the first dividend. The rest of the steps will be the same as above.
Note: In place of dividing one digit at a time we can take a big chunk of digits of the dividend. We can go 2 or 3 digits at a time, this will reduce the division steps.
