Solve 105975div1000

$$105975 \div 1000$$

Evaluate

$$\frac{4239}{40}=105.975$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 105975

$$\begin{array}{l}\phantom{1000)}\phantom{1}\\1000\overline{)105975}\\\end{array}$$

Since 1 is less than 1000, use the next digit 0 from dividend 105975 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}0\phantom{2}\\1000\overline{)105975}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 105975

$$\begin{array}{l}\phantom{1000)}0\phantom{3}\\1000\overline{)105975}\\\end{array}$$

Since 10 is less than 1000, use the next digit 5 from dividend 105975 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}00\phantom{4}\\1000\overline{)105975}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 105975

$$\begin{array}{l}\phantom{1000)}00\phantom{5}\\1000\overline{)105975}\\\end{array}$$

Since 105 is less than 1000, use the next digit 9 from dividend 105975 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}000\phantom{6}\\1000\overline{)105975}\\\end{array}$$

Use the 4^{th} digit 9 from dividend 105975

$$\begin{array}{l}\phantom{1000)}000\phantom{7}\\1000\overline{)105975}\\\end{array}$$

Find closest multiple of 1000 to 1059. We see that 1 \times 1000 = 1000 is the nearest. Now subtract 1000 from 1059 to get reminder 59. Add 1 to quotient.

$$\begin{array}{l}\phantom{1000)}0001\phantom{8}\\1000\overline{)105975}\\\phantom{1000)}\underline{\phantom{}1000\phantom{99}}\\\phantom{1000)99}59\\\end{array}$$

Use the 5^{th} digit 7 from dividend 105975

$$\begin{array}{l}\phantom{1000)}0001\phantom{9}\\1000\overline{)105975}\\\phantom{1000)}\underline{\phantom{}1000\phantom{99}}\\\phantom{1000)99}597\\\end{array}$$

Since 597 is less than 1000, use the next digit 5 from dividend 105975 and add 0 to the quotient

$$\begin{array}{l}\phantom{1000)}00010\phantom{10}\\1000\overline{)105975}\\\phantom{1000)}\underline{\phantom{}1000\phantom{99}}\\\phantom{1000)99}597\\\end{array}$$

Use the 6^{th} digit 5 from dividend 105975

$$\begin{array}{l}\phantom{1000)}00010\phantom{11}\\1000\overline{)105975}\\\phantom{1000)}\underline{\phantom{}1000\phantom{99}}\\\phantom{1000)99}5975\\\end{array}$$

Find closest multiple of 1000 to 5975. We see that 5 \times 1000 = 5000 is the nearest. Now subtract 5000 from 5975 to get reminder 975. Add 5 to quotient.

$$\begin{array}{l}\phantom{1000)}000105\phantom{12}\\1000\overline{)105975}\\\phantom{1000)}\underline{\phantom{}1000\phantom{99}}\\\phantom{1000)99}5975\\\phantom{1000)}\underline{\phantom{99}5000\phantom{}}\\\phantom{1000)999}975\\\end{array}$$

Since 975 is less than 1000, stop the division. The reminder is 975. The topmost line 000105 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 105.

$$\text{Quotient: }105 \text{Reminder: }975$$

Factor

$$\frac{3 ^ {3} \cdot 157}{2 ^ {3} \cdot 5} = 105\frac{39}{40} = 105.975$$