Solve 3864div2080

$$3864 \div 2080$$

Evaluate

$$\frac{483}{260}\approx 1.857692308$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3864

$$\begin{array}{l}\phantom{2080)}\phantom{1}\\2080\overline{)3864}\\\end{array}$$

Since 3 is less than 2080, use the next digit 8 from dividend 3864 and add 0 to the quotient

$$\begin{array}{l}\phantom{2080)}0\phantom{2}\\2080\overline{)3864}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 3864

$$\begin{array}{l}\phantom{2080)}0\phantom{3}\\2080\overline{)3864}\\\end{array}$$

Since 38 is less than 2080, use the next digit 6 from dividend 3864 and add 0 to the quotient

$$\begin{array}{l}\phantom{2080)}00\phantom{4}\\2080\overline{)3864}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 3864

$$\begin{array}{l}\phantom{2080)}00\phantom{5}\\2080\overline{)3864}\\\end{array}$$

Since 386 is less than 2080, use the next digit 4 from dividend 3864 and add 0 to the quotient

$$\begin{array}{l}\phantom{2080)}000\phantom{6}\\2080\overline{)3864}\\\end{array}$$

Use the 4^{th} digit 4 from dividend 3864

$$\begin{array}{l}\phantom{2080)}000\phantom{7}\\2080\overline{)3864}\\\end{array}$$

Find closest multiple of 2080 to 3864. We see that 1 \times 2080 = 2080 is the nearest. Now subtract 2080 from 3864 to get reminder 1784. Add 1 to quotient.

$$\begin{array}{l}\phantom{2080)}0001\phantom{8}\\2080\overline{)3864}\\\phantom{2080)}\underline{\phantom{}2080\phantom{}}\\\phantom{2080)}1784\\\end{array}$$

Since 1784 is less than 2080, stop the division. The reminder is 1784. The topmost line 0001 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 1.

$$\text{Quotient: }1 \text{Reminder: }1784$$

Factor

$$\frac{3 \cdot 7 \cdot 23}{2 ^ {2} \cdot 5 \cdot 13} = 1\frac{223}{260} = 1.8576923076923078$$