Solve 2184div125=

$$2184 \div 125=$$

Evaluate

$$\frac{2184}{125}=17.472$$

Steps For Long Division Method

Use the 1^{st} digit 2 from dividend 2184

$$\begin{array}{l}\phantom{125)}\phantom{1}\\125\overline{)2184}\\\end{array}$$

Since 2 is less than 125, use the next digit 1 from dividend 2184 and add 0 to the quotient

$$\begin{array}{l}\phantom{125)}0\phantom{2}\\125\overline{)2184}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 2184

$$\begin{array}{l}\phantom{125)}0\phantom{3}\\125\overline{)2184}\\\end{array}$$

Since 21 is less than 125, use the next digit 8 from dividend 2184 and add 0 to the quotient

$$\begin{array}{l}\phantom{125)}00\phantom{4}\\125\overline{)2184}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 2184

$$\begin{array}{l}\phantom{125)}00\phantom{5}\\125\overline{)2184}\\\end{array}$$

Find closest multiple of 125 to 218. We see that 1 \times 125 = 125 is the nearest. Now subtract 125 from 218 to get reminder 93. Add 1 to quotient.

$$\begin{array}{l}\phantom{125)}001\phantom{6}\\125\overline{)2184}\\\phantom{125)}\underline{\phantom{}125\phantom{9}}\\\phantom{125)9}93\\\end{array}$$

Use the 4^{th} digit 4 from dividend 2184

$$\begin{array}{l}\phantom{125)}001\phantom{7}\\125\overline{)2184}\\\phantom{125)}\underline{\phantom{}125\phantom{9}}\\\phantom{125)9}934\\\end{array}$$

Find closest multiple of 125 to 934. We see that 7 \times 125 = 875 is the nearest. Now subtract 875 from 934 to get reminder 59. Add 7 to quotient.

$$\begin{array}{l}\phantom{125)}0017\phantom{8}\\125\overline{)2184}\\\phantom{125)}\underline{\phantom{}125\phantom{9}}\\\phantom{125)9}934\\\phantom{125)}\underline{\phantom{9}875\phantom{}}\\\phantom{125)99}59\\\end{array}$$

Since 59 is less than 125, stop the division. The reminder is 59. The topmost line 0017 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 17.

$$\text{Quotient: }17 \text{Reminder: }59$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 7 \cdot 13}{5 ^ {3}} = 17\frac{59}{125} = 17.472$$