Solve 3000/214

$$\frac { 3000 } { 214 }$$

Evaluate

$$\frac{1500}{107}\approx 14.018691589$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3000

$$\begin{array}{l}\phantom{214)}\phantom{1}\\214\overline{)3000}\\\end{array}$$

Since 3 is less than 214, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{214)}0\phantom{2}\\214\overline{)3000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{214)}0\phantom{3}\\214\overline{)3000}\\\end{array}$$

Since 30 is less than 214, use the next digit 0 from dividend 3000 and add 0 to the quotient

$$\begin{array}{l}\phantom{214)}00\phantom{4}\\214\overline{)3000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{214)}00\phantom{5}\\214\overline{)3000}\\\end{array}$$

Find closest multiple of 214 to 300. We see that 1 \times 214 = 214 is the nearest. Now subtract 214 from 300 to get reminder 86. Add 1 to quotient.

$$\begin{array}{l}\phantom{214)}001\phantom{6}\\214\overline{)3000}\\\phantom{214)}\underline{\phantom{}214\phantom{9}}\\\phantom{214)9}86\\\end{array}$$

Use the 4^{th} digit 0 from dividend 3000

$$\begin{array}{l}\phantom{214)}001\phantom{7}\\214\overline{)3000}\\\phantom{214)}\underline{\phantom{}214\phantom{9}}\\\phantom{214)9}860\\\end{array}$$

Find closest multiple of 214 to 860. We see that 4 \times 214 = 856 is the nearest. Now subtract 856 from 860 to get reminder 4. Add 4 to quotient.

$$\begin{array}{l}\phantom{214)}0014\phantom{8}\\214\overline{)3000}\\\phantom{214)}\underline{\phantom{}214\phantom{9}}\\\phantom{214)9}860\\\phantom{214)}\underline{\phantom{9}856\phantom{}}\\\phantom{214)999}4\\\end{array}$$

Since 4 is less than 214, stop the division. The reminder is 4. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }4$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5 ^ {3}}{107} = 14\frac{2}{107} = 14.018691588785046$$