Solve 5271div412

$$5271 \div 412$$

Evaluate

$$\frac{5271}{412}\approx 12.79368932$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5271

$$\begin{array}{l}\phantom{412)}\phantom{1}\\412\overline{)5271}\\\end{array}$$

Since 5 is less than 412, use the next digit 2 from dividend 5271 and add 0 to the quotient

$$\begin{array}{l}\phantom{412)}0\phantom{2}\\412\overline{)5271}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 5271

$$\begin{array}{l}\phantom{412)}0\phantom{3}\\412\overline{)5271}\\\end{array}$$

Since 52 is less than 412, use the next digit 7 from dividend 5271 and add 0 to the quotient

$$\begin{array}{l}\phantom{412)}00\phantom{4}\\412\overline{)5271}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 5271

$$\begin{array}{l}\phantom{412)}00\phantom{5}\\412\overline{)5271}\\\end{array}$$

Find closest multiple of 412 to 527. We see that 1 \times 412 = 412 is the nearest. Now subtract 412 from 527 to get reminder 115. Add 1 to quotient.

$$\begin{array}{l}\phantom{412)}001\phantom{6}\\412\overline{)5271}\\\phantom{412)}\underline{\phantom{}412\phantom{9}}\\\phantom{412)}115\\\end{array}$$

Use the 4^{th} digit 1 from dividend 5271

$$\begin{array}{l}\phantom{412)}001\phantom{7}\\412\overline{)5271}\\\phantom{412)}\underline{\phantom{}412\phantom{9}}\\\phantom{412)}1151\\\end{array}$$

Find closest multiple of 412 to 1151. We see that 2 \times 412 = 824 is the nearest. Now subtract 824 from 1151 to get reminder 327. Add 2 to quotient.

$$\begin{array}{l}\phantom{412)}0012\phantom{8}\\412\overline{)5271}\\\phantom{412)}\underline{\phantom{}412\phantom{9}}\\\phantom{412)}1151\\\phantom{412)}\underline{\phantom{9}824\phantom{}}\\\phantom{412)9}327\\\end{array}$$

Since 327 is less than 412, stop the division. The reminder is 327. The topmost line 0012 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 12.

$$\text{Quotient: }12 \text{Reminder: }327$$

Factor

$$\frac{3 \cdot 7 \cdot 251}{2 ^ {2} \cdot 103} = 12\frac{327}{412} = 12.79368932038835$$