Solve 284,655:73

$$284,655 : 73$$

Evaluate

$$\frac{284655}{73}\approx 3899.383561644$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 284655

$$\begin{array}{l}\phantom{73)}\phantom{1}\\73\overline{)284655}\\\end{array}$$

Since 2 is less than 73, use the next digit 8 from dividend 284655 and add 0 to the quotient

$$\begin{array}{l}\phantom{73)}0\phantom{2}\\73\overline{)284655}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 284655

$$\begin{array}{l}\phantom{73)}0\phantom{3}\\73\overline{)284655}\\\end{array}$$

Since 28 is less than 73, use the next digit 4 from dividend 284655 and add 0 to the quotient

$$\begin{array}{l}\phantom{73)}00\phantom{4}\\73\overline{)284655}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 284655

$$\begin{array}{l}\phantom{73)}00\phantom{5}\\73\overline{)284655}\\\end{array}$$

Find closest multiple of 73 to 284. We see that 3 \times 73 = 219 is the nearest. Now subtract 219 from 284 to get reminder 65. Add 3 to quotient.

$$\begin{array}{l}\phantom{73)}003\phantom{6}\\73\overline{)284655}\\\phantom{73)}\underline{\phantom{}219\phantom{999}}\\\phantom{73)9}65\\\end{array}$$

Use the 4^{th} digit 6 from dividend 284655

$$\begin{array}{l}\phantom{73)}003\phantom{7}\\73\overline{)284655}\\\phantom{73)}\underline{\phantom{}219\phantom{999}}\\\phantom{73)9}656\\\end{array}$$

Find closest multiple of 73 to 656. We see that 8 \times 73 = 584 is the nearest. Now subtract 584 from 656 to get reminder 72. Add 8 to quotient.

$$\begin{array}{l}\phantom{73)}0038\phantom{8}\\73\overline{)284655}\\\phantom{73)}\underline{\phantom{}219\phantom{999}}\\\phantom{73)9}656\\\phantom{73)}\underline{\phantom{9}584\phantom{99}}\\\phantom{73)99}72\\\end{array}$$

Use the 5^{th} digit 5 from dividend 284655

$$\begin{array}{l}\phantom{73)}0038\phantom{9}\\73\overline{)284655}\\\phantom{73)}\underline{\phantom{}219\phantom{999}}\\\phantom{73)9}656\\\phantom{73)}\underline{\phantom{9}584\phantom{99}}\\\phantom{73)99}725\\\end{array}$$

Find closest multiple of 73 to 725. We see that 9 \times 73 = 657 is the nearest. Now subtract 657 from 725 to get reminder 68. Add 9 to quotient.

$$\begin{array}{l}\phantom{73)}00389\phantom{10}\\73\overline{)284655}\\\phantom{73)}\underline{\phantom{}219\phantom{999}}\\\phantom{73)9}656\\\phantom{73)}\underline{\phantom{9}584\phantom{99}}\\\phantom{73)99}725\\\phantom{73)}\underline{\phantom{99}657\phantom{9}}\\\phantom{73)999}68\\\end{array}$$

Use the 6^{th} digit 5 from dividend 284655

$$\begin{array}{l}\phantom{73)}00389\phantom{11}\\73\overline{)284655}\\\phantom{73)}\underline{\phantom{}219\phantom{999}}\\\phantom{73)9}656\\\phantom{73)}\underline{\phantom{9}584\phantom{99}}\\\phantom{73)99}725\\\phantom{73)}\underline{\phantom{99}657\phantom{9}}\\\phantom{73)999}685\\\end{array}$$

Find closest multiple of 73 to 685. We see that 9 \times 73 = 657 is the nearest. Now subtract 657 from 685 to get reminder 28. Add 9 to quotient.

$$\begin{array}{l}\phantom{73)}003899\phantom{12}\\73\overline{)284655}\\\phantom{73)}\underline{\phantom{}219\phantom{999}}\\\phantom{73)9}656\\\phantom{73)}\underline{\phantom{9}584\phantom{99}}\\\phantom{73)99}725\\\phantom{73)}\underline{\phantom{99}657\phantom{9}}\\\phantom{73)999}685\\\phantom{73)}\underline{\phantom{999}657\phantom{}}\\\phantom{73)9999}28\\\end{array}$$

Since 28 is less than 73, stop the division. The reminder is 28. The topmost line 003899 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3899.

$$\text{Quotient: }3899 \text{Reminder: }28$$

Factor

$$\frac{3 \cdot 5 \cdot 7 \cdot 2711}{73} = 3899\frac{28}{73} = 3899.3835616438355$$