Solve 32429div113

$$32429 \div 113$$

Evaluate

$$\frac{32429}{113}\approx 286.982300885$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 32429

$$\begin{array}{l}\phantom{113)}\phantom{1}\\113\overline{)32429}\\\end{array}$$

Since 3 is less than 113, use the next digit 2 from dividend 32429 and add 0 to the quotient

$$\begin{array}{l}\phantom{113)}0\phantom{2}\\113\overline{)32429}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 32429

$$\begin{array}{l}\phantom{113)}0\phantom{3}\\113\overline{)32429}\\\end{array}$$

Since 32 is less than 113, use the next digit 4 from dividend 32429 and add 0 to the quotient

$$\begin{array}{l}\phantom{113)}00\phantom{4}\\113\overline{)32429}\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 32429

$$\begin{array}{l}\phantom{113)}00\phantom{5}\\113\overline{)32429}\\\end{array}$$

Find closest multiple of 113 to 324. We see that 2 \times 113 = 226 is the nearest. Now subtract 226 from 324 to get reminder 98. Add 2 to quotient.

$$\begin{array}{l}\phantom{113)}002\phantom{6}\\113\overline{)32429}\\\phantom{113)}\underline{\phantom{}226\phantom{99}}\\\phantom{113)9}98\\\end{array}$$

Use the 4^{th} digit 2 from dividend 32429

$$\begin{array}{l}\phantom{113)}002\phantom{7}\\113\overline{)32429}\\\phantom{113)}\underline{\phantom{}226\phantom{99}}\\\phantom{113)9}982\\\end{array}$$

Find closest multiple of 113 to 982. We see that 8 \times 113 = 904 is the nearest. Now subtract 904 from 982 to get reminder 78. Add 8 to quotient.

$$\begin{array}{l}\phantom{113)}0028\phantom{8}\\113\overline{)32429}\\\phantom{113)}\underline{\phantom{}226\phantom{99}}\\\phantom{113)9}982\\\phantom{113)}\underline{\phantom{9}904\phantom{9}}\\\phantom{113)99}78\\\end{array}$$

Use the 5^{th} digit 9 from dividend 32429

$$\begin{array}{l}\phantom{113)}0028\phantom{9}\\113\overline{)32429}\\\phantom{113)}\underline{\phantom{}226\phantom{99}}\\\phantom{113)9}982\\\phantom{113)}\underline{\phantom{9}904\phantom{9}}\\\phantom{113)99}789\\\end{array}$$

Find closest multiple of 113 to 789. We see that 6 \times 113 = 678 is the nearest. Now subtract 678 from 789 to get reminder 111. Add 6 to quotient.

$$\begin{array}{l}\phantom{113)}00286\phantom{10}\\113\overline{)32429}\\\phantom{113)}\underline{\phantom{}226\phantom{99}}\\\phantom{113)9}982\\\phantom{113)}\underline{\phantom{9}904\phantom{9}}\\\phantom{113)99}789\\\phantom{113)}\underline{\phantom{99}678\phantom{}}\\\phantom{113)99}111\\\end{array}$$

Since 111 is less than 113, stop the division. The reminder is 111. The topmost line 00286 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 286.

$$\text{Quotient: }286 \text{Reminder: }111$$

Factor

$$\frac{32429}{113} = 286\frac{111}{113} = 286.98230088495575$$