Solve 3095/41

$$\frac { 3095 } { 41 }$$

Evaluate

$$\frac{3095}{41}\approx 75.487804878$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 3095

$$\begin{array}{l}\phantom{41)}\phantom{1}\\41\overline{)3095}\\\end{array}$$

Since 3 is less than 41, use the next digit 0 from dividend 3095 and add 0 to the quotient

$$\begin{array}{l}\phantom{41)}0\phantom{2}\\41\overline{)3095}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 3095

$$\begin{array}{l}\phantom{41)}0\phantom{3}\\41\overline{)3095}\\\end{array}$$

Since 30 is less than 41, use the next digit 9 from dividend 3095 and add 0 to the quotient

$$\begin{array}{l}\phantom{41)}00\phantom{4}\\41\overline{)3095}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 3095

$$\begin{array}{l}\phantom{41)}00\phantom{5}\\41\overline{)3095}\\\end{array}$$

Find closest multiple of 41 to 309. We see that 7 \times 41 = 287 is the nearest. Now subtract 287 from 309 to get reminder 22. Add 7 to quotient.

$$\begin{array}{l}\phantom{41)}007\phantom{6}\\41\overline{)3095}\\\phantom{41)}\underline{\phantom{}287\phantom{9}}\\\phantom{41)9}22\\\end{array}$$

Use the 4^{th} digit 5 from dividend 3095

$$\begin{array}{l}\phantom{41)}007\phantom{7}\\41\overline{)3095}\\\phantom{41)}\underline{\phantom{}287\phantom{9}}\\\phantom{41)9}225\\\end{array}$$

Find closest multiple of 41 to 225. We see that 5 \times 41 = 205 is the nearest. Now subtract 205 from 225 to get reminder 20. Add 5 to quotient.

$$\begin{array}{l}\phantom{41)}0075\phantom{8}\\41\overline{)3095}\\\phantom{41)}\underline{\phantom{}287\phantom{9}}\\\phantom{41)9}225\\\phantom{41)}\underline{\phantom{9}205\phantom{}}\\\phantom{41)99}20\\\end{array}$$

Since 20 is less than 41, stop the division. The reminder is 20. The topmost line 0075 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 75.

$$\text{Quotient: }75 \text{Reminder: }20$$

Factor

$$\frac{5 \cdot 619}{41} = 75\frac{20}{41} = 75.48780487804878$$