Solve 24921/1471

$$\frac { 24921 } { 1471 }$$

Evaluate

$$\frac{24921}{1471}\approx 16.94153637$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 24921

$$\begin{array}{l}\phantom{1471)}\phantom{1}\\1471\overline{)24921}\\\end{array}$$

Since 2 is less than 1471, use the next digit 4 from dividend 24921 and add 0 to the quotient

$$\begin{array}{l}\phantom{1471)}0\phantom{2}\\1471\overline{)24921}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 24921

$$\begin{array}{l}\phantom{1471)}0\phantom{3}\\1471\overline{)24921}\\\end{array}$$

Since 24 is less than 1471, use the next digit 9 from dividend 24921 and add 0 to the quotient

$$\begin{array}{l}\phantom{1471)}00\phantom{4}\\1471\overline{)24921}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 24921

$$\begin{array}{l}\phantom{1471)}00\phantom{5}\\1471\overline{)24921}\\\end{array}$$

Since 249 is less than 1471, use the next digit 2 from dividend 24921 and add 0 to the quotient

$$\begin{array}{l}\phantom{1471)}000\phantom{6}\\1471\overline{)24921}\\\end{array}$$

Use the 4^{th} digit 2 from dividend 24921

$$\begin{array}{l}\phantom{1471)}000\phantom{7}\\1471\overline{)24921}\\\end{array}$$

Find closest multiple of 1471 to 2492. We see that 1 \times 1471 = 1471 is the nearest. Now subtract 1471 from 2492 to get reminder 1021. Add 1 to quotient.

$$\begin{array}{l}\phantom{1471)}0001\phantom{8}\\1471\overline{)24921}\\\phantom{1471)}\underline{\phantom{}1471\phantom{9}}\\\phantom{1471)}1021\\\end{array}$$

Use the 5^{th} digit 1 from dividend 24921

$$\begin{array}{l}\phantom{1471)}0001\phantom{9}\\1471\overline{)24921}\\\phantom{1471)}\underline{\phantom{}1471\phantom{9}}\\\phantom{1471)}10211\\\end{array}$$

Find closest multiple of 1471 to 10211. We see that 6 \times 1471 = 8826 is the nearest. Now subtract 8826 from 10211 to get reminder 1385. Add 6 to quotient.

$$\begin{array}{l}\phantom{1471)}00016\phantom{10}\\1471\overline{)24921}\\\phantom{1471)}\underline{\phantom{}1471\phantom{9}}\\\phantom{1471)}10211\\\phantom{1471)}\underline{\phantom{9}8826\phantom{}}\\\phantom{1471)9}1385\\\end{array}$$

Since 1385 is less than 1471, stop the division. The reminder is 1385. The topmost line 00016 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 16.

$$\text{Quotient: }16 \text{Reminder: }1385$$

Factor

$$\frac{3 ^ {3} \cdot 13 \cdot 71}{1471} = 16\frac{1385}{1471} = 16.94153636981645$$