Solve 12,817/92

$$12,817 / 92$$

Evaluate

$$\frac{12817}{92}\approx 139.315217391$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 12817

$$\begin{array}{l}\phantom{92)}\phantom{1}\\92\overline{)12817}\\\end{array}$$

Since 1 is less than 92, use the next digit 2 from dividend 12817 and add 0 to the quotient

$$\begin{array}{l}\phantom{92)}0\phantom{2}\\92\overline{)12817}\\\end{array}$$

Use the 2^{nd} digit 2 from dividend 12817

$$\begin{array}{l}\phantom{92)}0\phantom{3}\\92\overline{)12817}\\\end{array}$$

Since 12 is less than 92, use the next digit 8 from dividend 12817 and add 0 to the quotient

$$\begin{array}{l}\phantom{92)}00\phantom{4}\\92\overline{)12817}\\\end{array}$$

Use the 3^{rd} digit 8 from dividend 12817

$$\begin{array}{l}\phantom{92)}00\phantom{5}\\92\overline{)12817}\\\end{array}$$

Find closest multiple of 92 to 128. We see that 1 \times 92 = 92 is the nearest. Now subtract 92 from 128 to get reminder 36. Add 1 to quotient.

$$\begin{array}{l}\phantom{92)}001\phantom{6}\\92\overline{)12817}\\\phantom{92)}\underline{\phantom{9}92\phantom{99}}\\\phantom{92)9}36\\\end{array}$$

Use the 4^{th} digit 1 from dividend 12817

$$\begin{array}{l}\phantom{92)}001\phantom{7}\\92\overline{)12817}\\\phantom{92)}\underline{\phantom{9}92\phantom{99}}\\\phantom{92)9}361\\\end{array}$$

Find closest multiple of 92 to 361. We see that 3 \times 92 = 276 is the nearest. Now subtract 276 from 361 to get reminder 85. Add 3 to quotient.

$$\begin{array}{l}\phantom{92)}0013\phantom{8}\\92\overline{)12817}\\\phantom{92)}\underline{\phantom{9}92\phantom{99}}\\\phantom{92)9}361\\\phantom{92)}\underline{\phantom{9}276\phantom{9}}\\\phantom{92)99}85\\\end{array}$$

Use the 5^{th} digit 7 from dividend 12817

$$\begin{array}{l}\phantom{92)}0013\phantom{9}\\92\overline{)12817}\\\phantom{92)}\underline{\phantom{9}92\phantom{99}}\\\phantom{92)9}361\\\phantom{92)}\underline{\phantom{9}276\phantom{9}}\\\phantom{92)99}857\\\end{array}$$

Find closest multiple of 92 to 857. We see that 9 \times 92 = 828 is the nearest. Now subtract 828 from 857 to get reminder 29. Add 9 to quotient.

$$\begin{array}{l}\phantom{92)}00139\phantom{10}\\92\overline{)12817}\\\phantom{92)}\underline{\phantom{9}92\phantom{99}}\\\phantom{92)9}361\\\phantom{92)}\underline{\phantom{9}276\phantom{9}}\\\phantom{92)99}857\\\phantom{92)}\underline{\phantom{99}828\phantom{}}\\\phantom{92)999}29\\\end{array}$$

Since 29 is less than 92, stop the division. The reminder is 29. The topmost line 00139 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 139.

$$\text{Quotient: }139 \text{Reminder: }29$$

Factor

$$\frac{7 \cdot 1831}{2 ^ {2} \cdot 23} = 139\frac{29}{92} = 139.31521739130434$$