Solve 2981div200

$$2981 \div 200$$

Evaluate

$$\frac{2981}{200}=14.905$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2981

$$\begin{array}{l}\phantom{200)}\phantom{1}\\200\overline{)2981}\\\end{array}$$

Since 2 is less than 200, use the next digit 9 from dividend 2981 and add 0 to the quotient

$$\begin{array}{l}\phantom{200)}0\phantom{2}\\200\overline{)2981}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 2981

$$\begin{array}{l}\phantom{200)}0\phantom{3}\\200\overline{)2981}\\\end{array}$$

Since 29 is less than 200, use the next digit 8 from dividend 2981 and add 0 to the quotient

$$\begin{array}{l}\phantom{200)}00\phantom{4}\\200\overline{)2981}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 2981

$$\begin{array}{l}\phantom{200)}00\phantom{5}\\200\overline{)2981}\\\end{array}$$

Find closest multiple of 200 to 298. We see that 1 \times 200 = 200 is the nearest. Now subtract 200 from 298 to get reminder 98. Add 1 to quotient.

$$\begin{array}{l}\phantom{200)}001\phantom{6}\\200\overline{)2981}\\\phantom{200)}\underline{\phantom{}200\phantom{9}}\\\phantom{200)9}98\\\end{array}$$

Use the 4^{th} digit 1 from dividend 2981

$$\begin{array}{l}\phantom{200)}001\phantom{7}\\200\overline{)2981}\\\phantom{200)}\underline{\phantom{}200\phantom{9}}\\\phantom{200)9}981\\\end{array}$$

Find closest multiple of 200 to 981. We see that 4 \times 200 = 800 is the nearest. Now subtract 800 from 981 to get reminder 181. Add 4 to quotient.

$$\begin{array}{l}\phantom{200)}0014\phantom{8}\\200\overline{)2981}\\\phantom{200)}\underline{\phantom{}200\phantom{9}}\\\phantom{200)9}981\\\phantom{200)}\underline{\phantom{9}800\phantom{}}\\\phantom{200)9}181\\\end{array}$$

Since 181 is less than 200, stop the division. The reminder is 181. The topmost line 0014 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 14.

$$\text{Quotient: }14 \text{Reminder: }181$$

Factor

$$\frac{11 \cdot 271}{2 ^ {3} \cdot 5 ^ {2}} = 14\frac{181}{200} = 14.905$$