Solve 5214div14

$$5214 \div 14$$

Evaluate

$$\frac{2607}{7}\approx 372.428571429$$

Steps For Long Division Method

Use the 1^{st} digit 5 from dividend 5214

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)5214}\\\end{array}$$

Since 5 is less than 14, use the next digit 2 from dividend 5214 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)5214}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 5214

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)5214}\\\end{array}$$

Find closest multiple of 14 to 52. We see that 3 \times 14 = 42 is the nearest. Now subtract 42 from 52 to get reminder 10. Add 3 to quotient.

$$\begin{array}{l}\phantom{14)}03\phantom{4}\\14\overline{)5214}\\\phantom{14)}\underline{\phantom{}42\phantom{99}}\\\phantom{14)}10\\\end{array}$$

Use the 3^{rd} digit 1 from dividend 5214

$$\begin{array}{l}\phantom{14)}03\phantom{5}\\14\overline{)5214}\\\phantom{14)}\underline{\phantom{}42\phantom{99}}\\\phantom{14)}101\\\end{array}$$

Find closest multiple of 14 to 101. We see that 7 \times 14 = 98 is the nearest. Now subtract 98 from 101 to get reminder 3. Add 7 to quotient.

$$\begin{array}{l}\phantom{14)}037\phantom{6}\\14\overline{)5214}\\\phantom{14)}\underline{\phantom{}42\phantom{99}}\\\phantom{14)}101\\\phantom{14)}\underline{\phantom{9}98\phantom{9}}\\\phantom{14)99}3\\\end{array}$$

Use the 4^{th} digit 4 from dividend 5214

$$\begin{array}{l}\phantom{14)}037\phantom{7}\\14\overline{)5214}\\\phantom{14)}\underline{\phantom{}42\phantom{99}}\\\phantom{14)}101\\\phantom{14)}\underline{\phantom{9}98\phantom{9}}\\\phantom{14)99}34\\\end{array}$$

Find closest multiple of 14 to 34. We see that 2 \times 14 = 28 is the nearest. Now subtract 28 from 34 to get reminder 6. Add 2 to quotient.

$$\begin{array}{l}\phantom{14)}0372\phantom{8}\\14\overline{)5214}\\\phantom{14)}\underline{\phantom{}42\phantom{99}}\\\phantom{14)}101\\\phantom{14)}\underline{\phantom{9}98\phantom{9}}\\\phantom{14)99}34\\\phantom{14)}\underline{\phantom{99}28\phantom{}}\\\phantom{14)999}6\\\end{array}$$

Since 6 is less than 14, stop the division. The reminder is 6. The topmost line 0372 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 372.

$$\text{Quotient: }372 \text{Reminder: }6$$

Factor

$$\frac{3 \cdot 11 \cdot 79}{7} = 372\frac{3}{7} = 372.42857142857144$$