Solve 1649div40

$$1649 \div 40$$

Evaluate

$$\frac{1649}{40}=41.225$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1649

$$\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)1649}\\\end{array}$$

Since 1 is less than 40, use the next digit 6 from dividend 1649 and add 0 to the quotient

$$\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)1649}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 1649

$$\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)1649}\\\end{array}$$

Since 16 is less than 40, use the next digit 4 from dividend 1649 and add 0 to the quotient

$$\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)1649}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 1649

$$\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)1649}\\\end{array}$$

Find closest multiple of 40 to 164. We see that 4 \times 40 = 160 is the nearest. Now subtract 160 from 164 to get reminder 4. Add 4 to quotient.

$$\begin{array}{l}\phantom{40)}004\phantom{6}\\40\overline{)1649}\\\phantom{40)}\underline{\phantom{}160\phantom{9}}\\\phantom{40)99}4\\\end{array}$$

Use the 4^{th} digit 9 from dividend 1649

$$\begin{array}{l}\phantom{40)}004\phantom{7}\\40\overline{)1649}\\\phantom{40)}\underline{\phantom{}160\phantom{9}}\\\phantom{40)99}49\\\end{array}$$

Find closest multiple of 40 to 49. We see that 1 \times 40 = 40 is the nearest. Now subtract 40 from 49 to get reminder 9. Add 1 to quotient.

$$\begin{array}{l}\phantom{40)}0041\phantom{8}\\40\overline{)1649}\\\phantom{40)}\underline{\phantom{}160\phantom{9}}\\\phantom{40)99}49\\\phantom{40)}\underline{\phantom{99}40\phantom{}}\\\phantom{40)999}9\\\end{array}$$

Since 9 is less than 40, stop the division. The reminder is 9. The topmost line 0041 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 41.

$$\text{Quotient: }41 \text{Reminder: }9$$

Factor

$$\frac{17 \cdot 97}{2 ^ {3} \cdot 5} = 41\frac{9}{40} = 41.225$$