Solve 847/17

$$\frac { 847 } { 17 }$$

Evaluate

$$\frac{847}{17}\approx 49.823529412$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 847

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)847}\\\end{array}$$

Since 8 is less than 17, use the next digit 4 from dividend 847 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)847}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 847

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)847}\\\end{array}$$

Find closest multiple of 17 to 84. We see that 4 \times 17 = 68 is the nearest. Now subtract 68 from 84 to get reminder 16. Add 4 to quotient.

$$\begin{array}{l}\phantom{17)}04\phantom{4}\\17\overline{)847}\\\phantom{17)}\underline{\phantom{}68\phantom{9}}\\\phantom{17)}16\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 847

$$\begin{array}{l}\phantom{17)}04\phantom{5}\\17\overline{)847}\\\phantom{17)}\underline{\phantom{}68\phantom{9}}\\\phantom{17)}167\\\end{array}$$

Find closest multiple of 17 to 167. We see that 9 \times 17 = 153 is the nearest. Now subtract 153 from 167 to get reminder 14. Add 9 to quotient.

$$\begin{array}{l}\phantom{17)}049\phantom{6}\\17\overline{)847}\\\phantom{17)}\underline{\phantom{}68\phantom{9}}\\\phantom{17)}167\\\phantom{17)}\underline{\phantom{}153\phantom{}}\\\phantom{17)9}14\\\end{array}$$

Since 14 is less than 17, stop the division. The reminder is 14. The topmost line 049 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 49.

$$\text{Quotient: }49 \text{Reminder: }14$$

Factor

$$\frac{7 \cdot 11 ^ {2}}{17} = 49\frac{14}{17} = 49.8235294117647$$