Solve 2041div75

$$2041 \div 75$$

Evaluate

$$\frac{2041}{75}\approx 27.213333333$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2041

$$\begin{array}{l}\phantom{75)}\phantom{1}\\75\overline{)2041}\\\end{array}$$

Since 2 is less than 75, use the next digit 0 from dividend 2041 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}0\phantom{2}\\75\overline{)2041}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 2041

$$\begin{array}{l}\phantom{75)}0\phantom{3}\\75\overline{)2041}\\\end{array}$$

Since 20 is less than 75, use the next digit 4 from dividend 2041 and add 0 to the quotient

$$\begin{array}{l}\phantom{75)}00\phantom{4}\\75\overline{)2041}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 2041

$$\begin{array}{l}\phantom{75)}00\phantom{5}\\75\overline{)2041}\\\end{array}$$

Find closest multiple of 75 to 204. We see that 2 \times 75 = 150 is the nearest. Now subtract 150 from 204 to get reminder 54. Add 2 to quotient.

$$\begin{array}{l}\phantom{75)}002\phantom{6}\\75\overline{)2041}\\\phantom{75)}\underline{\phantom{}150\phantom{9}}\\\phantom{75)9}54\\\end{array}$$

Use the 4^{th} digit 1 from dividend 2041

$$\begin{array}{l}\phantom{75)}002\phantom{7}\\75\overline{)2041}\\\phantom{75)}\underline{\phantom{}150\phantom{9}}\\\phantom{75)9}541\\\end{array}$$

Find closest multiple of 75 to 541. We see that 7 \times 75 = 525 is the nearest. Now subtract 525 from 541 to get reminder 16. Add 7 to quotient.

$$\begin{array}{l}\phantom{75)}0027\phantom{8}\\75\overline{)2041}\\\phantom{75)}\underline{\phantom{}150\phantom{9}}\\\phantom{75)9}541\\\phantom{75)}\underline{\phantom{9}525\phantom{}}\\\phantom{75)99}16\\\end{array}$$

Since 16 is less than 75, stop the division. The reminder is 16. The topmost line 0027 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27.

$$\text{Quotient: }27 \text{Reminder: }16$$

Factor

$$\frac{13 \cdot 157}{3 \cdot 5 ^ {2}} = 27\frac{16}{75} = 27.213333333333335$$