Solve 39000div166

$$39000 \div 166$$

Evaluate

$$\frac{19500}{83}\approx 234.939759036$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 39000

$$\begin{array}{l}\phantom{166)}\phantom{1}\\166\overline{)39000}\\\end{array}$$

Since 3 is less than 166, use the next digit 9 from dividend 39000 and add 0 to the quotient

$$\begin{array}{l}\phantom{166)}0\phantom{2}\\166\overline{)39000}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 39000

$$\begin{array}{l}\phantom{166)}0\phantom{3}\\166\overline{)39000}\\\end{array}$$

Since 39 is less than 166, use the next digit 0 from dividend 39000 and add 0 to the quotient

$$\begin{array}{l}\phantom{166)}00\phantom{4}\\166\overline{)39000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 39000

$$\begin{array}{l}\phantom{166)}00\phantom{5}\\166\overline{)39000}\\\end{array}$$

Find closest multiple of 166 to 390. We see that 2 \times 166 = 332 is the nearest. Now subtract 332 from 390 to get reminder 58. Add 2 to quotient.

$$\begin{array}{l}\phantom{166)}002\phantom{6}\\166\overline{)39000}\\\phantom{166)}\underline{\phantom{}332\phantom{99}}\\\phantom{166)9}58\\\end{array}$$

Use the 4^{th} digit 0 from dividend 39000

$$\begin{array}{l}\phantom{166)}002\phantom{7}\\166\overline{)39000}\\\phantom{166)}\underline{\phantom{}332\phantom{99}}\\\phantom{166)9}580\\\end{array}$$

Find closest multiple of 166 to 580. We see that 3 \times 166 = 498 is the nearest. Now subtract 498 from 580 to get reminder 82. Add 3 to quotient.

$$\begin{array}{l}\phantom{166)}0023\phantom{8}\\166\overline{)39000}\\\phantom{166)}\underline{\phantom{}332\phantom{99}}\\\phantom{166)9}580\\\phantom{166)}\underline{\phantom{9}498\phantom{9}}\\\phantom{166)99}82\\\end{array}$$

Use the 5^{th} digit 0 from dividend 39000

$$\begin{array}{l}\phantom{166)}0023\phantom{9}\\166\overline{)39000}\\\phantom{166)}\underline{\phantom{}332\phantom{99}}\\\phantom{166)9}580\\\phantom{166)}\underline{\phantom{9}498\phantom{9}}\\\phantom{166)99}820\\\end{array}$$

Find closest multiple of 166 to 820. We see that 4 \times 166 = 664 is the nearest. Now subtract 664 from 820 to get reminder 156. Add 4 to quotient.

$$\begin{array}{l}\phantom{166)}00234\phantom{10}\\166\overline{)39000}\\\phantom{166)}\underline{\phantom{}332\phantom{99}}\\\phantom{166)9}580\\\phantom{166)}\underline{\phantom{9}498\phantom{9}}\\\phantom{166)99}820\\\phantom{166)}\underline{\phantom{99}664\phantom{}}\\\phantom{166)99}156\\\end{array}$$

Since 156 is less than 166, stop the division. The reminder is 156. The topmost line 00234 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 234.

$$\text{Quotient: }234 \text{Reminder: }156$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5 ^ {3} \cdot 13}{83} = 234\frac{78}{83} = 234.93975903614458$$