Solve 106992/4425

$$\frac { 106992 } { 4425 }$$

Evaluate

$$\frac{35664}{1475}\approx 24.178983051$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 106992

$$\begin{array}{l}\phantom{4425)}\phantom{1}\\4425\overline{)106992}\\\end{array}$$

Since 1 is less than 4425, use the next digit 0 from dividend 106992 and add 0 to the quotient

$$\begin{array}{l}\phantom{4425)}0\phantom{2}\\4425\overline{)106992}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 106992

$$\begin{array}{l}\phantom{4425)}0\phantom{3}\\4425\overline{)106992}\\\end{array}$$

Since 10 is less than 4425, use the next digit 6 from dividend 106992 and add 0 to the quotient

$$\begin{array}{l}\phantom{4425)}00\phantom{4}\\4425\overline{)106992}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 106992

$$\begin{array}{l}\phantom{4425)}00\phantom{5}\\4425\overline{)106992}\\\end{array}$$

Since 106 is less than 4425, use the next digit 9 from dividend 106992 and add 0 to the quotient

$$\begin{array}{l}\phantom{4425)}000\phantom{6}\\4425\overline{)106992}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 106992

$$\begin{array}{l}\phantom{4425)}000\phantom{7}\\4425\overline{)106992}\\\end{array}$$

Since 1069 is less than 4425, use the next digit 9 from dividend 106992 and add 0 to the quotient

$$\begin{array}{l}\phantom{4425)}0000\phantom{8}\\4425\overline{)106992}\\\end{array}$$

Use the 5^{th} digit 9 from dividend 106992

$$\begin{array}{l}\phantom{4425)}0000\phantom{9}\\4425\overline{)106992}\\\end{array}$$

Find closest multiple of 4425 to 10699. We see that 2 \times 4425 = 8850 is the nearest. Now subtract 8850 from 10699 to get reminder 1849. Add 2 to quotient.

$$\begin{array}{l}\phantom{4425)}00002\phantom{10}\\4425\overline{)106992}\\\phantom{4425)}\underline{\phantom{9}8850\phantom{9}}\\\phantom{4425)9}1849\\\end{array}$$

Use the 6^{th} digit 2 from dividend 106992

$$\begin{array}{l}\phantom{4425)}00002\phantom{11}\\4425\overline{)106992}\\\phantom{4425)}\underline{\phantom{9}8850\phantom{9}}\\\phantom{4425)9}18492\\\end{array}$$

Find closest multiple of 4425 to 18492. We see that 4 \times 4425 = 17700 is the nearest. Now subtract 17700 from 18492 to get reminder 792. Add 4 to quotient.

$$\begin{array}{l}\phantom{4425)}000024\phantom{12}\\4425\overline{)106992}\\\phantom{4425)}\underline{\phantom{9}8850\phantom{9}}\\\phantom{4425)9}18492\\\phantom{4425)}\underline{\phantom{9}17700\phantom{}}\\\phantom{4425)999}792\\\end{array}$$

Since 792 is less than 4425, stop the division. The reminder is 792. The topmost line 000024 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 24.

$$\text{Quotient: }24 \text{Reminder: }792$$

Factor

$$\frac{2 ^ {4} \cdot 3 \cdot 743}{5 ^ {2} \cdot 59} = 24\frac{264}{1475} = 24.178983050847457$$