Solve 48400/66

$$\frac { 48400 } { 66 }$$

Evaluate

$$\frac{2200}{3}\approx 733.333333333$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 48400

$$\begin{array}{l}\phantom{66)}\phantom{1}\\66\overline{)48400}\\\end{array}$$

Since 4 is less than 66, use the next digit 8 from dividend 48400 and add 0 to the quotient

$$\begin{array}{l}\phantom{66)}0\phantom{2}\\66\overline{)48400}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 48400

$$\begin{array}{l}\phantom{66)}0\phantom{3}\\66\overline{)48400}\\\end{array}$$

Since 48 is less than 66, use the next digit 4 from dividend 48400 and add 0 to the quotient

$$\begin{array}{l}\phantom{66)}00\phantom{4}\\66\overline{)48400}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 48400

$$\begin{array}{l}\phantom{66)}00\phantom{5}\\66\overline{)48400}\\\end{array}$$

Find closest multiple of 66 to 484. We see that 7 \times 66 = 462 is the nearest. Now subtract 462 from 484 to get reminder 22. Add 7 to quotient.

$$\begin{array}{l}\phantom{66)}007\phantom{6}\\66\overline{)48400}\\\phantom{66)}\underline{\phantom{}462\phantom{99}}\\\phantom{66)9}22\\\end{array}$$

Use the 4^{th} digit 0 from dividend 48400

$$\begin{array}{l}\phantom{66)}007\phantom{7}\\66\overline{)48400}\\\phantom{66)}\underline{\phantom{}462\phantom{99}}\\\phantom{66)9}220\\\end{array}$$

Find closest multiple of 66 to 220. We see that 3 \times 66 = 198 is the nearest. Now subtract 198 from 220 to get reminder 22. Add 3 to quotient.

$$\begin{array}{l}\phantom{66)}0073\phantom{8}\\66\overline{)48400}\\\phantom{66)}\underline{\phantom{}462\phantom{99}}\\\phantom{66)9}220\\\phantom{66)}\underline{\phantom{9}198\phantom{9}}\\\phantom{66)99}22\\\end{array}$$

Use the 5^{th} digit 0 from dividend 48400

$$\begin{array}{l}\phantom{66)}0073\phantom{9}\\66\overline{)48400}\\\phantom{66)}\underline{\phantom{}462\phantom{99}}\\\phantom{66)9}220\\\phantom{66)}\underline{\phantom{9}198\phantom{9}}\\\phantom{66)99}220\\\end{array}$$

Find closest multiple of 66 to 220. We see that 3 \times 66 = 198 is the nearest. Now subtract 198 from 220 to get reminder 22. Add 3 to quotient.

$$\begin{array}{l}\phantom{66)}00733\phantom{10}\\66\overline{)48400}\\\phantom{66)}\underline{\phantom{}462\phantom{99}}\\\phantom{66)9}220\\\phantom{66)}\underline{\phantom{9}198\phantom{9}}\\\phantom{66)99}220\\\phantom{66)}\underline{\phantom{99}198\phantom{}}\\\phantom{66)999}22\\\end{array}$$

Since 22 is less than 66, stop the division. The reminder is 22. The topmost line 00733 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 733.

$$\text{Quotient: }733 \text{Reminder: }22$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 11}{3} = 733\frac{1}{3} = 733.3333333333334$$