Solve 46656div121

$$46656 \div 121$$

Evaluate

$$\frac{46656}{121}\approx 385.58677686$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 46656

$$\begin{array}{l}\phantom{121)}\phantom{1}\\121\overline{)46656}\\\end{array}$$

Since 4 is less than 121, use the next digit 6 from dividend 46656 and add 0 to the quotient

$$\begin{array}{l}\phantom{121)}0\phantom{2}\\121\overline{)46656}\\\end{array}$$

Use the 2^{nd} digit 6 from dividend 46656

$$\begin{array}{l}\phantom{121)}0\phantom{3}\\121\overline{)46656}\\\end{array}$$

Since 46 is less than 121, use the next digit 6 from dividend 46656 and add 0 to the quotient

$$\begin{array}{l}\phantom{121)}00\phantom{4}\\121\overline{)46656}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 46656

$$\begin{array}{l}\phantom{121)}00\phantom{5}\\121\overline{)46656}\\\end{array}$$

Find closest multiple of 121 to 466. We see that 3 \times 121 = 363 is the nearest. Now subtract 363 from 466 to get reminder 103. Add 3 to quotient.

$$\begin{array}{l}\phantom{121)}003\phantom{6}\\121\overline{)46656}\\\phantom{121)}\underline{\phantom{}363\phantom{99}}\\\phantom{121)}103\\\end{array}$$

Use the 4^{th} digit 5 from dividend 46656

$$\begin{array}{l}\phantom{121)}003\phantom{7}\\121\overline{)46656}\\\phantom{121)}\underline{\phantom{}363\phantom{99}}\\\phantom{121)}1035\\\end{array}$$

Find closest multiple of 121 to 1035. We see that 8 \times 121 = 968 is the nearest. Now subtract 968 from 1035 to get reminder 67. Add 8 to quotient.

$$\begin{array}{l}\phantom{121)}0038\phantom{8}\\121\overline{)46656}\\\phantom{121)}\underline{\phantom{}363\phantom{99}}\\\phantom{121)}1035\\\phantom{121)}\underline{\phantom{9}968\phantom{9}}\\\phantom{121)99}67\\\end{array}$$

Use the 5^{th} digit 6 from dividend 46656

$$\begin{array}{l}\phantom{121)}0038\phantom{9}\\121\overline{)46656}\\\phantom{121)}\underline{\phantom{}363\phantom{99}}\\\phantom{121)}1035\\\phantom{121)}\underline{\phantom{9}968\phantom{9}}\\\phantom{121)99}676\\\end{array}$$

Find closest multiple of 121 to 676. We see that 5 \times 121 = 605 is the nearest. Now subtract 605 from 676 to get reminder 71. Add 5 to quotient.

$$\begin{array}{l}\phantom{121)}00385\phantom{10}\\121\overline{)46656}\\\phantom{121)}\underline{\phantom{}363\phantom{99}}\\\phantom{121)}1035\\\phantom{121)}\underline{\phantom{9}968\phantom{9}}\\\phantom{121)99}676\\\phantom{121)}\underline{\phantom{99}605\phantom{}}\\\phantom{121)999}71\\\end{array}$$

Since 71 is less than 121, stop the division. The reminder is 71. The topmost line 00385 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 385.

$$\text{Quotient: }385 \text{Reminder: }71$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {6}}{11 ^ {2}} = 385\frac{71}{121} = 385.58677685950414$$