Solve 4082/162

$$\frac { 4082 } { 162 }$$

Evaluate

$$\frac{2041}{81}\approx 25.197530864$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 4082

$$\begin{array}{l}\phantom{162)}\phantom{1}\\162\overline{)4082}\\\end{array}$$

Since 4 is less than 162, use the next digit 0 from dividend 4082 and add 0 to the quotient

$$\begin{array}{l}\phantom{162)}0\phantom{2}\\162\overline{)4082}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 4082

$$\begin{array}{l}\phantom{162)}0\phantom{3}\\162\overline{)4082}\\\end{array}$$

Since 40 is less than 162, use the next digit 8 from dividend 4082 and add 0 to the quotient

$$\begin{array}{l}\phantom{162)}00\phantom{4}\\162\overline{)4082}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 4082

$$\begin{array}{l}\phantom{162)}00\phantom{5}\\162\overline{)4082}\\\end{array}$$

Find closest multiple of 162 to 408. We see that 2 \times 162 = 324 is the nearest. Now subtract 324 from 408 to get reminder 84. Add 2 to quotient.

$$\begin{array}{l}\phantom{162)}002\phantom{6}\\162\overline{)4082}\\\phantom{162)}\underline{\phantom{}324\phantom{9}}\\\phantom{162)9}84\\\end{array}$$

Use the 4^{th} digit 2 from dividend 4082

$$\begin{array}{l}\phantom{162)}002\phantom{7}\\162\overline{)4082}\\\phantom{162)}\underline{\phantom{}324\phantom{9}}\\\phantom{162)9}842\\\end{array}$$

Find closest multiple of 162 to 842. We see that 5 \times 162 = 810 is the nearest. Now subtract 810 from 842 to get reminder 32. Add 5 to quotient.

$$\begin{array}{l}\phantom{162)}0025\phantom{8}\\162\overline{)4082}\\\phantom{162)}\underline{\phantom{}324\phantom{9}}\\\phantom{162)9}842\\\phantom{162)}\underline{\phantom{9}810\phantom{}}\\\phantom{162)99}32\\\end{array}$$

Since 32 is less than 162, stop the division. The reminder is 32. The topmost line 0025 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 25.

$$\text{Quotient: }25 \text{Reminder: }32$$

Factor

$$\frac{13 \cdot 157}{3 ^ {4}} = 25\frac{16}{81} = 25.19753086419753$$