Solve 410div14

$$410 \div 14$$

Evaluate

$$\frac{205}{7}\approx 29.285714286$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 410

$$\begin{array}{l}\phantom{14)}\phantom{1}\\14\overline{)410}\\\end{array}$$

Since 4 is less than 14, use the next digit 1 from dividend 410 and add 0 to the quotient

$$\begin{array}{l}\phantom{14)}0\phantom{2}\\14\overline{)410}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 410

$$\begin{array}{l}\phantom{14)}0\phantom{3}\\14\overline{)410}\\\end{array}$$

Find closest multiple of 14 to 41. We see that 2 \times 14 = 28 is the nearest. Now subtract 28 from 41 to get reminder 13. Add 2 to quotient.

$$\begin{array}{l}\phantom{14)}02\phantom{4}\\14\overline{)410}\\\phantom{14)}\underline{\phantom{}28\phantom{9}}\\\phantom{14)}13\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 410

$$\begin{array}{l}\phantom{14)}02\phantom{5}\\14\overline{)410}\\\phantom{14)}\underline{\phantom{}28\phantom{9}}\\\phantom{14)}130\\\end{array}$$

Find closest multiple of 14 to 130. We see that 9 \times 14 = 126 is the nearest. Now subtract 126 from 130 to get reminder 4. Add 9 to quotient.

$$\begin{array}{l}\phantom{14)}029\phantom{6}\\14\overline{)410}\\\phantom{14)}\underline{\phantom{}28\phantom{9}}\\\phantom{14)}130\\\phantom{14)}\underline{\phantom{}126\phantom{}}\\\phantom{14)99}4\\\end{array}$$

Since 4 is less than 14, stop the division. The reminder is 4. The topmost line 029 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 29.

$$\text{Quotient: }29 \text{Reminder: }4$$

Factor

$$\frac{5 \cdot 41}{7} = 29\frac{2}{7} = 29.285714285714285$$