Solve 510div56

$$510 \div 56$$

Evaluate

$$\frac{255}{28}\approx 9.107142857$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 510

$$\begin{array}{l}\phantom{56)}\phantom{1}\\56\overline{)510}\\\end{array}$$

Since 5 is less than 56, use the next digit 1 from dividend 510 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}0\phantom{2}\\56\overline{)510}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 510

$$\begin{array}{l}\phantom{56)}0\phantom{3}\\56\overline{)510}\\\end{array}$$

Since 51 is less than 56, use the next digit 0 from dividend 510 and add 0 to the quotient

$$\begin{array}{l}\phantom{56)}00\phantom{4}\\56\overline{)510}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 510

$$\begin{array}{l}\phantom{56)}00\phantom{5}\\56\overline{)510}\\\end{array}$$

Find closest multiple of 56 to 510. We see that 9 \times 56 = 504 is the nearest. Now subtract 504 from 510 to get reminder 6. Add 9 to quotient.

$$\begin{array}{l}\phantom{56)}009\phantom{6}\\56\overline{)510}\\\phantom{56)}\underline{\phantom{}504\phantom{}}\\\phantom{56)99}6\\\end{array}$$

Since 6 is less than 56, stop the division. The reminder is 6. The topmost line 009 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 9.

$$\text{Quotient: }9 \text{Reminder: }6$$

Factor

$$\frac{3 \cdot 5 \cdot 17}{2 ^ {2} \cdot 7} = 9\frac{3}{28} = 9.107142857142858$$