Solve 1820div390

$$1820 \div 390$$

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1820

$$\begin{array}{l}\phantom{390)}\phantom{1}\\390\overline{)1820}\\\end{array}$$

Since 1 is less than 390, use the next digit 8 from dividend 1820 and add 0 to the quotient

$$\begin{array}{l}\phantom{390)}0\phantom{2}\\390\overline{)1820}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 1820

$$\begin{array}{l}\phantom{390)}0\phantom{3}\\390\overline{)1820}\\\end{array}$$

Since 18 is less than 390, use the next digit 2 from dividend 1820 and add 0 to the quotient

$$\begin{array}{l}\phantom{390)}00\phantom{4}\\390\overline{)1820}\\\end{array}$$

Use the 3^{rd} digit 2 from dividend 1820

$$\begin{array}{l}\phantom{390)}00\phantom{5}\\390\overline{)1820}\\\end{array}$$

Since 182 is less than 390, use the next digit 0 from dividend 1820 and add 0 to the quotient

$$\begin{array}{l}\phantom{390)}000\phantom{6}\\390\overline{)1820}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1820

$$\begin{array}{l}\phantom{390)}000\phantom{7}\\390\overline{)1820}\\\end{array}$$

Find closest multiple of 390 to 1820. We see that 4 \times 390 = 1560 is the nearest. Now subtract 1560 from 1820 to get reminder 260. Add 4 to quotient.

$$\begin{array}{l}\phantom{390)}0004\phantom{8}\\390\overline{)1820}\\\phantom{390)}\underline{\phantom{}1560\phantom{}}\\\phantom{390)9}260\\\end{array}$$

Since 260 is less than 390, stop the division. The reminder is 260. The topmost line 0004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.

$$\text{Quotient: }4 \text{Reminder: }260$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$