Solve 2100/84

$$\frac { 2100 } { 84 }$$

Evaluate

$$25$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2100

$$\begin{array}{l}\phantom{84)}\phantom{1}\\84\overline{)2100}\\\end{array}$$

Since 2 is less than 84, use the next digit 1 from dividend 2100 and add 0 to the quotient

$$\begin{array}{l}\phantom{84)}0\phantom{2}\\84\overline{)2100}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 2100

$$\begin{array}{l}\phantom{84)}0\phantom{3}\\84\overline{)2100}\\\end{array}$$

Since 21 is less than 84, use the next digit 0 from dividend 2100 and add 0 to the quotient

$$\begin{array}{l}\phantom{84)}00\phantom{4}\\84\overline{)2100}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 2100

$$\begin{array}{l}\phantom{84)}00\phantom{5}\\84\overline{)2100}\\\end{array}$$

Find closest multiple of 84 to 210. We see that 2 \times 84 = 168 is the nearest. Now subtract 168 from 210 to get reminder 42. Add 2 to quotient.

$$\begin{array}{l}\phantom{84)}002\phantom{6}\\84\overline{)2100}\\\phantom{84)}\underline{\phantom{}168\phantom{9}}\\\phantom{84)9}42\\\end{array}$$

Use the 4^{th} digit 0 from dividend 2100

$$\begin{array}{l}\phantom{84)}002\phantom{7}\\84\overline{)2100}\\\phantom{84)}\underline{\phantom{}168\phantom{9}}\\\phantom{84)9}420\\\end{array}$$

Find closest multiple of 84 to 420. We see that 5 \times 84 = 420 is the nearest. Now subtract 420 from 420 to get reminder 0. Add 5 to quotient.

$$\begin{array}{l}\phantom{84)}0025\phantom{8}\\84\overline{)2100}\\\phantom{84)}\underline{\phantom{}168\phantom{9}}\\\phantom{84)9}420\\\phantom{84)}\underline{\phantom{9}420\phantom{}}\\\phantom{84)9999}0\\\end{array}$$

Since 0 is less than 84, stop the division. The reminder is 0. The topmost line 0025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.

$$\text{Quotient: }25 \text{Reminder: }0$$

Factor

$$5^{2}$$