Solve 2835:21

$$2835 : 21$$

Evaluate

$$135$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2835

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)2835}\\\end{array}$$

Since 2 is less than 21, use the next digit 8 from dividend 2835 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)2835}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 2835

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)2835}\\\end{array}$$

Find closest multiple of 21 to 28. We see that 1 \times 21 = 21 is the nearest. Now subtract 21 from 28 to get reminder 7. Add 1 to quotient.

$$\begin{array}{l}\phantom{21)}01\phantom{4}\\21\overline{)2835}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}7\\\end{array}$$

Use the 3^{rd} digit 3 from dividend 2835

$$\begin{array}{l}\phantom{21)}01\phantom{5}\\21\overline{)2835}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}73\\\end{array}$$

Find closest multiple of 21 to 73. We see that 3 \times 21 = 63 is the nearest. Now subtract 63 from 73 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{21)}013\phantom{6}\\21\overline{)2835}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}73\\\phantom{21)}\underline{\phantom{9}63\phantom{9}}\\\phantom{21)9}10\\\end{array}$$

Use the 4^{th} digit 5 from dividend 2835

$$\begin{array}{l}\phantom{21)}013\phantom{7}\\21\overline{)2835}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}73\\\phantom{21)}\underline{\phantom{9}63\phantom{9}}\\\phantom{21)9}105\\\end{array}$$

Find closest multiple of 21 to 105. We see that 5 \times 21 = 105 is the nearest. Now subtract 105 from 105 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{21)}0135\phantom{8}\\21\overline{)2835}\\\phantom{21)}\underline{\phantom{}21\phantom{99}}\\\phantom{21)9}73\\\phantom{21)}\underline{\phantom{9}63\phantom{9}}\\\phantom{21)9}105\\\phantom{21)}\underline{\phantom{9}105\phantom{}}\\\phantom{21)9999}0\\\end{array}$$

Since 0 is less than 21, stop the division. The reminder is 0. The topmost line 0135 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 135.

$$\text{Quotient: }135 \text{Reminder: }0$$

Factor

$$3^{3}\times 5$$