Solve 419974div60

$$419974 \div 60$$

Evaluate

$$\frac{209987}{30}\approx 6999.566666667$$

Steps For Long Division Method

Use the 1^{st} digit 4 from dividend 419974

$$\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)419974}\\\end{array}$$

Since 4 is less than 60, use the next digit 1 from dividend 419974 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)419974}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 419974

$$\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)419974}\\\end{array}$$

Since 41 is less than 60, use the next digit 9 from dividend 419974 and add 0 to the quotient

$$\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)419974}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 419974

$$\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)419974}\\\end{array}$$

Find closest multiple of 60 to 419. We see that 6 \times 60 = 360 is the nearest. Now subtract 360 from 419 to get reminder 59. Add 6 to quotient.

$$\begin{array}{l}\phantom{60)}006\phantom{6}\\60\overline{)419974}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}59\\\end{array}$$

Use the 4^{th} digit 9 from dividend 419974

$$\begin{array}{l}\phantom{60)}006\phantom{7}\\60\overline{)419974}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}599\\\end{array}$$

Find closest multiple of 60 to 599. We see that 9 \times 60 = 540 is the nearest. Now subtract 540 from 599 to get reminder 59. Add 9 to quotient.

$$\begin{array}{l}\phantom{60)}0069\phantom{8}\\60\overline{)419974}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}599\\\phantom{60)}\underline{\phantom{9}540\phantom{99}}\\\phantom{60)99}59\\\end{array}$$

Use the 5^{th} digit 7 from dividend 419974

$$\begin{array}{l}\phantom{60)}0069\phantom{9}\\60\overline{)419974}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}599\\\phantom{60)}\underline{\phantom{9}540\phantom{99}}\\\phantom{60)99}597\\\end{array}$$

Find closest multiple of 60 to 597. We see that 9 \times 60 = 540 is the nearest. Now subtract 540 from 597 to get reminder 57. Add 9 to quotient.

$$\begin{array}{l}\phantom{60)}00699\phantom{10}\\60\overline{)419974}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}599\\\phantom{60)}\underline{\phantom{9}540\phantom{99}}\\\phantom{60)99}597\\\phantom{60)}\underline{\phantom{99}540\phantom{9}}\\\phantom{60)999}57\\\end{array}$$

Use the 6^{th} digit 4 from dividend 419974

$$\begin{array}{l}\phantom{60)}00699\phantom{11}\\60\overline{)419974}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}599\\\phantom{60)}\underline{\phantom{9}540\phantom{99}}\\\phantom{60)99}597\\\phantom{60)}\underline{\phantom{99}540\phantom{9}}\\\phantom{60)999}574\\\end{array}$$

Find closest multiple of 60 to 574. We see that 9 \times 60 = 540 is the nearest. Now subtract 540 from 574 to get reminder 34. Add 9 to quotient.

$$\begin{array}{l}\phantom{60)}006999\phantom{12}\\60\overline{)419974}\\\phantom{60)}\underline{\phantom{}360\phantom{999}}\\\phantom{60)9}599\\\phantom{60)}\underline{\phantom{9}540\phantom{99}}\\\phantom{60)99}597\\\phantom{60)}\underline{\phantom{99}540\phantom{9}}\\\phantom{60)999}574\\\phantom{60)}\underline{\phantom{999}540\phantom{}}\\\phantom{60)9999}34\\\end{array}$$

Since 34 is less than 60, stop the division. The reminder is 34. The topmost line 006999 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 6999.

$$\text{Quotient: }6999 \text{Reminder: }34$$

Factor

$$\frac{209987}{2 \cdot 3 \cdot 5} = 6999\frac{17}{30} = 6999.566666666667$$