Full solution

785\div5

Identify Problem: Identify the division problem that needs to be solved. $\newline$ 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. $\newline$ 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 $5 \times 1 = 5$ , which is less than $7$ .
Subtract First Product: Subtract the product of the divisor and the quotient from the first digit of the dividend. $\newline$ 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 $5 \times 5 = 25$ , 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. $\newline$ 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 $5 \times 7 = 35$ , which is exactly $35$ .
Complete Division: Subtract the product of the divisor and the quotient from the number we got after the second subtraction. $\newline$ 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. $\newline$ The quotient is $157$ , which means $5$ goes into $785$ exactly $157$ times.