Solve 900/17

$$\frac { 900 } { 17 }$$

Evaluate

$$\frac{900}{17}\approx 52.941176471$$

Steps For Long Division Method

Use the 1^{st} digit 9 from dividend 900

$$\begin{array}{l}\phantom{17)}\phantom{1}\\17\overline{)900}\\\end{array}$$

Since 9 is less than 17, use the next digit 0 from dividend 900 and add 0 to the quotient

$$\begin{array}{l}\phantom{17)}0\phantom{2}\\17\overline{)900}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 900

$$\begin{array}{l}\phantom{17)}0\phantom{3}\\17\overline{)900}\\\end{array}$$

Find closest multiple of 17 to 90. We see that 5 \times 17 = 85 is the nearest. Now subtract 85 from 90 to get reminder 5. Add 5 to quotient.

$$\begin{array}{l}\phantom{17)}05\phantom{4}\\17\overline{)900}\\\phantom{17)}\underline{\phantom{}85\phantom{9}}\\\phantom{17)9}5\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 900

$$\begin{array}{l}\phantom{17)}05\phantom{5}\\17\overline{)900}\\\phantom{17)}\underline{\phantom{}85\phantom{9}}\\\phantom{17)9}50\\\end{array}$$

Find closest multiple of 17 to 50. We see that 2 \times 17 = 34 is the nearest. Now subtract 34 from 50 to get reminder 16. Add 2 to quotient.

$$\begin{array}{l}\phantom{17)}052\phantom{6}\\17\overline{)900}\\\phantom{17)}\underline{\phantom{}85\phantom{9}}\\\phantom{17)9}50\\\phantom{17)}\underline{\phantom{9}34\phantom{}}\\\phantom{17)9}16\\\end{array}$$

Since 16 is less than 17, stop the division. The reminder is 16. The topmost line 052 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 52.

$$\text{Quotient: }52 \text{Reminder: }16$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 5 ^ {2}}{17} = 52\frac{16}{17} = 52.94117647058823$$