Solve 100000div107

$$100000 \div 107$$

Evaluate

$$\frac{100000}{107}\approx 934.579439252$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 100000

$$\begin{array}{l}\phantom{107)}\phantom{1}\\107\overline{)100000}\\\end{array}$$

Since 1 is less than 107, use the next digit 0 from dividend 100000 and add 0 to the quotient

$$\begin{array}{l}\phantom{107)}0\phantom{2}\\107\overline{)100000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 100000

$$\begin{array}{l}\phantom{107)}0\phantom{3}\\107\overline{)100000}\\\end{array}$$

Since 10 is less than 107, use the next digit 0 from dividend 100000 and add 0 to the quotient

$$\begin{array}{l}\phantom{107)}00\phantom{4}\\107\overline{)100000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 100000

$$\begin{array}{l}\phantom{107)}00\phantom{5}\\107\overline{)100000}\\\end{array}$$

Since 100 is less than 107, use the next digit 0 from dividend 100000 and add 0 to the quotient

$$\begin{array}{l}\phantom{107)}000\phantom{6}\\107\overline{)100000}\\\end{array}$$

Use the 4^{th} digit 0 from dividend 100000

$$\begin{array}{l}\phantom{107)}000\phantom{7}\\107\overline{)100000}\\\end{array}$$

Find closest multiple of 107 to 1000. We see that 9 \times 107 = 963 is the nearest. Now subtract 963 from 1000 to get reminder 37. Add 9 to quotient.

$$\begin{array}{l}\phantom{107)}0009\phantom{8}\\107\overline{)100000}\\\phantom{107)}\underline{\phantom{9}963\phantom{99}}\\\phantom{107)99}37\\\end{array}$$

Use the 5^{th} digit 0 from dividend 100000

$$\begin{array}{l}\phantom{107)}0009\phantom{9}\\107\overline{)100000}\\\phantom{107)}\underline{\phantom{9}963\phantom{99}}\\\phantom{107)99}370\\\end{array}$$

Find closest multiple of 107 to 370. We see that 3 \times 107 = 321 is the nearest. Now subtract 321 from 370 to get reminder 49. Add 3 to quotient.

$$\begin{array}{l}\phantom{107)}00093\phantom{10}\\107\overline{)100000}\\\phantom{107)}\underline{\phantom{9}963\phantom{99}}\\\phantom{107)99}370\\\phantom{107)}\underline{\phantom{99}321\phantom{9}}\\\phantom{107)999}49\\\end{array}$$

Use the 6^{th} digit 0 from dividend 100000

$$\begin{array}{l}\phantom{107)}00093\phantom{11}\\107\overline{)100000}\\\phantom{107)}\underline{\phantom{9}963\phantom{99}}\\\phantom{107)99}370\\\phantom{107)}\underline{\phantom{99}321\phantom{9}}\\\phantom{107)999}490\\\end{array}$$

Find closest multiple of 107 to 490. We see that 4 \times 107 = 428 is the nearest. Now subtract 428 from 490 to get reminder 62. Add 4 to quotient.

$$\begin{array}{l}\phantom{107)}000934\phantom{12}\\107\overline{)100000}\\\phantom{107)}\underline{\phantom{9}963\phantom{99}}\\\phantom{107)99}370\\\phantom{107)}\underline{\phantom{99}321\phantom{9}}\\\phantom{107)999}490\\\phantom{107)}\underline{\phantom{999}428\phantom{}}\\\phantom{107)9999}62\\\end{array}$$

Since 62 is less than 107, stop the division. The reminder is 62. The topmost line 000934 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 934.

$$\text{Quotient: }934 \text{Reminder: }62$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {5}}{107} = 934\frac{62}{107} = 934.5794392523364$$