Solve 4725div1680

$$4725 \div 1680$$

Evaluate

$$\frac{45}{16}=2.8125$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4725

$$\begin{array}{l}\phantom{1680)}\phantom{1}\\1680\overline{)4725}\\\end{array}$$

Since 4 is less than 1680, use the next digit 7 from dividend 4725 and add 0 to the quotient

$$\begin{array}{l}\phantom{1680)}0\phantom{2}\\1680\overline{)4725}\\\end{array}$$

Use the 2^{nd} digit 7 from dividend 4725

$$\begin{array}{l}\phantom{1680)}0\phantom{3}\\1680\overline{)4725}\\\end{array}$$

Since 47 is less than 1680, use the next digit 2 from dividend 4725 and add 0 to the quotient

$$\begin{array}{l}\phantom{1680)}00\phantom{4}\\1680\overline{)4725}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 4725

$$\begin{array}{l}\phantom{1680)}00\phantom{5}\\1680\overline{)4725}\\\end{array}$$

Since 472 is less than 1680, use the next digit 5 from dividend 4725 and add 0 to the quotient

$$\begin{array}{l}\phantom{1680)}000\phantom{6}\\1680\overline{)4725}\\\end{array}$$

Use the 4^{th} digit 5 from dividend 4725

$$\begin{array}{l}\phantom{1680)}000\phantom{7}\\1680\overline{)4725}\\\end{array}$$

Find closest multiple of 1680 to 4725. We see that 2 \times 1680 = 3360 is the nearest. Now subtract 3360 from 4725 to get reminder 1365. Add 2 to quotient.

$$\begin{array}{l}\phantom{1680)}0002\phantom{8}\\1680\overline{)4725}\\\phantom{1680)}\underline{\phantom{}3360\phantom{}}\\\phantom{1680)}1365\\\end{array}$$

Since 1365 is less than 1680, stop the division. The reminder is 1365. The topmost line 0002 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 2.

$$\text{Quotient: }2 \text{Reminder: }1365$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {4}} = 2\frac{13}{16} = 2.8125$$