Solve 5280div328

$$5280 \div 328$$

Evaluate

$$\frac{660}{41}\approx 16.097560976$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5280

$$\begin{array}{l}\phantom{328)}\phantom{1}\\328\overline{)5280}\\\end{array}$$

Since 5 is less than 328, use the next digit 2 from dividend 5280 and add 0 to the quotient

$$\begin{array}{l}\phantom{328)}0\phantom{2}\\328\overline{)5280}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 5280

$$\begin{array}{l}\phantom{328)}0\phantom{3}\\328\overline{)5280}\\\end{array}$$

Since 52 is less than 328, use the next digit 8 from dividend 5280 and add 0 to the quotient

$$\begin{array}{l}\phantom{328)}00\phantom{4}\\328\overline{)5280}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 5280

$$\begin{array}{l}\phantom{328)}00\phantom{5}\\328\overline{)5280}\\\end{array}$$

Find closest multiple of 328 to 528. We see that 1 \times 328 = 328 is the nearest. Now subtract 328 from 528 to get reminder 200. Add 1 to quotient.

$$\begin{array}{l}\phantom{328)}001\phantom{6}\\328\overline{)5280}\\\phantom{328)}\underline{\phantom{}328\phantom{9}}\\\phantom{328)}200\\\end{array}$$

Use the 4^{th} digit 0 from dividend 5280

$$\begin{array}{l}\phantom{328)}001\phantom{7}\\328\overline{)5280}\\\phantom{328)}\underline{\phantom{}328\phantom{9}}\\\phantom{328)}2000\\\end{array}$$

Find closest multiple of 328 to 2000. We see that 6 \times 328 = 1968 is the nearest. Now subtract 1968 from 2000 to get reminder 32. Add 6 to quotient.

$$\begin{array}{l}\phantom{328)}0016\phantom{8}\\328\overline{)5280}\\\phantom{328)}\underline{\phantom{}328\phantom{9}}\\\phantom{328)}2000\\\phantom{328)}\underline{\phantom{}1968\phantom{}}\\\phantom{328)99}32\\\end{array}$$

Since 32 is less than 328, stop the division. The reminder is 32. The topmost line 0016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.

$$\text{Quotient: }16 \text{Reminder: }32$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5 \cdot 11}{41} = 16\frac{4}{41} = 16.097560975609756$$