Solve 3084div200

$$3084 \div 200$$

Evaluate

$$\frac{771}{50}=15.42$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3084

$$\begin{array}{l}\phantom{200)}\phantom{1}\\200\overline{)3084}\\\end{array}$$

Since 3 is less than 200, use the next digit 0 from dividend 3084 and add 0 to the quotient

$$\begin{array}{l}\phantom{200)}0\phantom{2}\\200\overline{)3084}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3084

$$\begin{array}{l}\phantom{200)}0\phantom{3}\\200\overline{)3084}\\\end{array}$$

Since 30 is less than 200, use the next digit 8 from dividend 3084 and add 0 to the quotient

$$\begin{array}{l}\phantom{200)}00\phantom{4}\\200\overline{)3084}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 3084

$$\begin{array}{l}\phantom{200)}00\phantom{5}\\200\overline{)3084}\\\end{array}$$

Find closest multiple of 200 to 308. We see that 1 \times 200 = 200 is the nearest. Now subtract 200 from 308 to get reminder 108. Add 1 to quotient.

$$\begin{array}{l}\phantom{200)}001\phantom{6}\\200\overline{)3084}\\\phantom{200)}\underline{\phantom{}200\phantom{9}}\\\phantom{200)}108\\\end{array}$$

Use the 4^{th} digit 4 from dividend 3084

$$\begin{array}{l}\phantom{200)}001\phantom{7}\\200\overline{)3084}\\\phantom{200)}\underline{\phantom{}200\phantom{9}}\\\phantom{200)}1084\\\end{array}$$

Find closest multiple of 200 to 1084. We see that 5 \times 200 = 1000 is the nearest. Now subtract 1000 from 1084 to get reminder 84. Add 5 to quotient.

$$\begin{array}{l}\phantom{200)}0015\phantom{8}\\200\overline{)3084}\\\phantom{200)}\underline{\phantom{}200\phantom{9}}\\\phantom{200)}1084\\\phantom{200)}\underline{\phantom{}1000\phantom{}}\\\phantom{200)99}84\\\end{array}$$

Since 84 is less than 200, stop the division. The reminder is 84. The topmost line 0015 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 15.

$$\text{Quotient: }15 \text{Reminder: }84$$

Factor

$$\frac{3 \cdot 257}{2 \cdot 5 ^ {2}} = 15\frac{21}{50} = 15.42$$