Solve 2142div25

$$2142 \div 25$$

Evaluate

$$\frac{2142}{25}=85.68$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2142

$$\begin{array}{l}\phantom{25)}\phantom{1}\\25\overline{)2142}\\\end{array}$$

Since 2 is less than 25, use the next digit 1 from dividend 2142 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}0\phantom{2}\\25\overline{)2142}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 2142

$$\begin{array}{l}\phantom{25)}0\phantom{3}\\25\overline{)2142}\\\end{array}$$

Since 21 is less than 25, use the next digit 4 from dividend 2142 and add 0 to the quotient

$$\begin{array}{l}\phantom{25)}00\phantom{4}\\25\overline{)2142}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 2142

$$\begin{array}{l}\phantom{25)}00\phantom{5}\\25\overline{)2142}\\\end{array}$$

Find closest multiple of 25 to 214. We see that 8 \times 25 = 200 is the nearest. Now subtract 200 from 214 to get reminder 14. Add 8 to quotient.

$$\begin{array}{l}\phantom{25)}008\phantom{6}\\25\overline{)2142}\\\phantom{25)}\underline{\phantom{}200\phantom{9}}\\\phantom{25)9}14\\\end{array}$$

Use the 4^{th} digit 2 from dividend 2142

$$\begin{array}{l}\phantom{25)}008\phantom{7}\\25\overline{)2142}\\\phantom{25)}\underline{\phantom{}200\phantom{9}}\\\phantom{25)9}142\\\end{array}$$

Find closest multiple of 25 to 142. We see that 5 \times 25 = 125 is the nearest. Now subtract 125 from 142 to get reminder 17. Add 5 to quotient.

$$\begin{array}{l}\phantom{25)}0085\phantom{8}\\25\overline{)2142}\\\phantom{25)}\underline{\phantom{}200\phantom{9}}\\\phantom{25)9}142\\\phantom{25)}\underline{\phantom{9}125\phantom{}}\\\phantom{25)99}17\\\end{array}$$

Since 17 is less than 25, stop the division. The reminder is 17. The topmost line 0085 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 85.

$$\text{Quotient: }85 \text{Reminder: }17$$

Factor

$$\frac{2 \cdot 3 ^ {2} \cdot 7 \cdot 17}{5 ^ {2}} = 85\frac{17}{25} = 85.68$$