Identify Problem: Identify the division problem that needs to be solved.We need to divide 785 by 5 to find out how many times 5 goes into 785.
Perform Long Division: Divide the number 785 by 5 using long division.We set up the long division by writing 5 outside the division box and 785 inside the division box.
Determine Quotient: Determine how many times 5 goes into 7 without exceeding it.5 goes into 7 one time because 5×1=5, which is less than 7.
Subtract First Product: Subtract the product of the divisor and the quotient from the first digit of the dividend.We subtract 5 from 7 to get 2, and bring down the next digit of the dividend, which is 8, to make the number 28.
Determine Next Quotient: Determine how many times 5 goes into 28 without exceeding it.5 goes into 28 five times because 5×5=25, which is less than 28.
Subtract Second Product: Subtract the product of the divisor and the quotient from the number we got after the first subtraction.We subtract 25 from 28 to get 3, and bring down the next digit of the dividend, which is 5, to make the number 35.
Final Quotient: Determine how many times 5 goes into 35 without exceeding it.5 goes into 35 seven times because 5×7=35, which is exactly 35.
Complete Division: Subtract the product of the divisor and the quotient from the number we got after the second subtraction.We subtract 35 from 35 to get 0. There are no more digits to bring down, so the division is complete.
Write Quotient: Write down the complete quotient, which is the result of the division.The quotient is 157, which means 5 goes into 785 exactly 157 times.