Solve 100938/28

$$\frac { 100938 } { 28 }$$

Evaluate

$$\frac{50469}{14}\approx 3604.928571429$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 100938

$$\begin{array}{l}\phantom{28)}\phantom{1}\\28\overline{)100938}\\\end{array}$$

Since 1 is less than 28, use the next digit 0 from dividend 100938 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}0\phantom{2}\\28\overline{)100938}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 100938

$$\begin{array}{l}\phantom{28)}0\phantom{3}\\28\overline{)100938}\\\end{array}$$

Since 10 is less than 28, use the next digit 0 from dividend 100938 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}00\phantom{4}\\28\overline{)100938}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 100938

$$\begin{array}{l}\phantom{28)}00\phantom{5}\\28\overline{)100938}\\\end{array}$$

Find closest multiple of 28 to 100. We see that 3 \times 28 = 84 is the nearest. Now subtract 84 from 100 to get reminder 16. Add 3 to quotient.

$$\begin{array}{l}\phantom{28)}003\phantom{6}\\28\overline{)100938}\\\phantom{28)}\underline{\phantom{9}84\phantom{999}}\\\phantom{28)9}16\\\end{array}$$

Use the 4^{th} digit 9 from dividend 100938

$$\begin{array}{l}\phantom{28)}003\phantom{7}\\28\overline{)100938}\\\phantom{28)}\underline{\phantom{9}84\phantom{999}}\\\phantom{28)9}169\\\end{array}$$

Find closest multiple of 28 to 169. We see that 6 \times 28 = 168 is the nearest. Now subtract 168 from 169 to get reminder 1. Add 6 to quotient.

$$\begin{array}{l}\phantom{28)}0036\phantom{8}\\28\overline{)100938}\\\phantom{28)}\underline{\phantom{9}84\phantom{999}}\\\phantom{28)9}169\\\phantom{28)}\underline{\phantom{9}168\phantom{99}}\\\phantom{28)999}1\\\end{array}$$

Use the 5^{th} digit 3 from dividend 100938

$$\begin{array}{l}\phantom{28)}0036\phantom{9}\\28\overline{)100938}\\\phantom{28)}\underline{\phantom{9}84\phantom{999}}\\\phantom{28)9}169\\\phantom{28)}\underline{\phantom{9}168\phantom{99}}\\\phantom{28)999}13\\\end{array}$$

Since 13 is less than 28, use the next digit 8 from dividend 100938 and add 0 to the quotient

$$\begin{array}{l}\phantom{28)}00360\phantom{10}\\28\overline{)100938}\\\phantom{28)}\underline{\phantom{9}84\phantom{999}}\\\phantom{28)9}169\\\phantom{28)}\underline{\phantom{9}168\phantom{99}}\\\phantom{28)999}13\\\end{array}$$

Use the 6^{th} digit 8 from dividend 100938

$$\begin{array}{l}\phantom{28)}00360\phantom{11}\\28\overline{)100938}\\\phantom{28)}\underline{\phantom{9}84\phantom{999}}\\\phantom{28)9}169\\\phantom{28)}\underline{\phantom{9}168\phantom{99}}\\\phantom{28)999}138\\\end{array}$$

Find closest multiple of 28 to 138. We see that 4 \times 28 = 112 is the nearest. Now subtract 112 from 138 to get reminder 26. Add 4 to quotient.

$$\begin{array}{l}\phantom{28)}003604\phantom{12}\\28\overline{)100938}\\\phantom{28)}\underline{\phantom{9}84\phantom{999}}\\\phantom{28)9}169\\\phantom{28)}\underline{\phantom{9}168\phantom{99}}\\\phantom{28)999}138\\\phantom{28)}\underline{\phantom{999}112\phantom{}}\\\phantom{28)9999}26\\\end{array}$$

Since 26 is less than 28, stop the division. The reminder is 26. The topmost line 003604 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 3604.

$$\text{Quotient: }3604 \text{Reminder: }26$$

Factor

$$\frac{3 \cdot 16823}{2 \cdot 7} = 3604\frac{13}{14} = 3604.9285714285716$$