Solve 1590/30

$$\frac{ 1590 }{ 30 }$$

Evaluate

$$53$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1590

$$\begin{array}{l}\phantom{30)}\phantom{1}\\30\overline{)1590}\\\end{array}$$

Since 1 is less than 30, use the next digit 5 from dividend 1590 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}0\phantom{2}\\30\overline{)1590}\\\end{array}$$

Use the 2^{nd} digit 5 from dividend 1590

$$\begin{array}{l}\phantom{30)}0\phantom{3}\\30\overline{)1590}\\\end{array}$$

Since 15 is less than 30, use the next digit 9 from dividend 1590 and add 0 to the quotient

$$\begin{array}{l}\phantom{30)}00\phantom{4}\\30\overline{)1590}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 1590

$$\begin{array}{l}\phantom{30)}00\phantom{5}\\30\overline{)1590}\\\end{array}$$

Find closest multiple of 30 to 159. We see that 5 \times 30 = 150 is the nearest. Now subtract 150 from 159 to get reminder 9. Add 5 to quotient.

$$\begin{array}{l}\phantom{30)}005\phantom{6}\\30\overline{)1590}\\\phantom{30)}\underline{\phantom{}150\phantom{9}}\\\phantom{30)99}9\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1590

$$\begin{array}{l}\phantom{30)}005\phantom{7}\\30\overline{)1590}\\\phantom{30)}\underline{\phantom{}150\phantom{9}}\\\phantom{30)99}90\\\end{array}$$

Find closest multiple of 30 to 90. We see that 3 \times 30 = 90 is the nearest. Now subtract 90 from 90 to get reminder 0. Add 3 to quotient.

$$\begin{array}{l}\phantom{30)}0053\phantom{8}\\30\overline{)1590}\\\phantom{30)}\underline{\phantom{}150\phantom{9}}\\\phantom{30)99}90\\\phantom{30)}\underline{\phantom{99}90\phantom{}}\\\phantom{30)9999}0\\\end{array}$$

Since 0 is less than 30, stop the division. The reminder is 0. The topmost line 0053 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 53.

$$\text{Quotient: }53 \text{Reminder: }0$$

Factor

$$53$$