Solve 2975/71

$$\frac{ 2975 }{ 71 }$$

Evaluate

$$\frac{2975}{71}\approx 41.901408451$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2975

$$\begin{array}{l}\phantom{71)}\phantom{1}\\71\overline{)2975}\\\end{array}$$

Since 2 is less than 71, use the next digit 9 from dividend 2975 and add 0 to the quotient

$$\begin{array}{l}\phantom{71)}0\phantom{2}\\71\overline{)2975}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 2975

$$\begin{array}{l}\phantom{71)}0\phantom{3}\\71\overline{)2975}\\\end{array}$$

Since 29 is less than 71, use the next digit 7 from dividend 2975 and add 0 to the quotient

$$\begin{array}{l}\phantom{71)}00\phantom{4}\\71\overline{)2975}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 2975

$$\begin{array}{l}\phantom{71)}00\phantom{5}\\71\overline{)2975}\\\end{array}$$

Find closest multiple of 71 to 297. We see that 4 \times 71 = 284 is the nearest. Now subtract 284 from 297 to get reminder 13. Add 4 to quotient.

$$\begin{array}{l}\phantom{71)}004\phantom{6}\\71\overline{)2975}\\\phantom{71)}\underline{\phantom{}284\phantom{9}}\\\phantom{71)9}13\\\end{array}$$

Use the 4^{th} digit 5 from dividend 2975

$$\begin{array}{l}\phantom{71)}004\phantom{7}\\71\overline{)2975}\\\phantom{71)}\underline{\phantom{}284\phantom{9}}\\\phantom{71)9}135\\\end{array}$$

Find closest multiple of 71 to 135. We see that 1 \times 71 = 71 is the nearest. Now subtract 71 from 135 to get reminder 64. Add 1 to quotient.

$$\begin{array}{l}\phantom{71)}0041\phantom{8}\\71\overline{)2975}\\\phantom{71)}\underline{\phantom{}284\phantom{9}}\\\phantom{71)9}135\\\phantom{71)}\underline{\phantom{99}71\phantom{}}\\\phantom{71)99}64\\\end{array}$$

Since 64 is less than 71, stop the division. The reminder is 64. The topmost line 0041 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 41.

$$\text{Quotient: }41 \text{Reminder: }64$$

Factor

$$\frac{5 ^ {2} \cdot 7 \cdot 17}{71} = 41\frac{64}{71} = 41.901408450704224$$