Solve 1853div40

$$1853 \div 40$$

Evaluate

$$\frac{1853}{40}=46.325$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1853

$$\begin{array}{l}\phantom{40)}\phantom{1}\\40\overline{)1853}\\\end{array}$$

Since 1 is less than 40, use the next digit 8 from dividend 1853 and add 0 to the quotient

$$\begin{array}{l}\phantom{40)}0\phantom{2}\\40\overline{)1853}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 1853

$$\begin{array}{l}\phantom{40)}0\phantom{3}\\40\overline{)1853}\\\end{array}$$

Since 18 is less than 40, use the next digit 5 from dividend 1853 and add 0 to the quotient

$$\begin{array}{l}\phantom{40)}00\phantom{4}\\40\overline{)1853}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 1853

$$\begin{array}{l}\phantom{40)}00\phantom{5}\\40\overline{)1853}\\\end{array}$$

Find closest multiple of 40 to 185. We see that 4 \times 40 = 160 is the nearest. Now subtract 160 from 185 to get reminder 25. Add 4 to quotient.

$$\begin{array}{l}\phantom{40)}004\phantom{6}\\40\overline{)1853}\\\phantom{40)}\underline{\phantom{}160\phantom{9}}\\\phantom{40)9}25\\\end{array}$$

Use the 4^{th} digit 3 from dividend 1853

$$\begin{array}{l}\phantom{40)}004\phantom{7}\\40\overline{)1853}\\\phantom{40)}\underline{\phantom{}160\phantom{9}}\\\phantom{40)9}253\\\end{array}$$

Find closest multiple of 40 to 253. We see that 6 \times 40 = 240 is the nearest. Now subtract 240 from 253 to get reminder 13. Add 6 to quotient.

$$\begin{array}{l}\phantom{40)}0046\phantom{8}\\40\overline{)1853}\\\phantom{40)}\underline{\phantom{}160\phantom{9}}\\\phantom{40)9}253\\\phantom{40)}\underline{\phantom{9}240\phantom{}}\\\phantom{40)99}13\\\end{array}$$

Since 13 is less than 40, stop the division. The reminder is 13. The topmost line 0046 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 46.

$$\text{Quotient: }46 \text{Reminder: }13$$

Factor

$$\frac{17 \cdot 109}{2 ^ {3} \cdot 5} = 46\frac{13}{40} = 46.325$$