Solve 1000div47

$$1000 \div 47$$

Evaluate

$$\frac{1000}{47}\approx 21.276595745$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 1000

$$\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)1000}\\\end{array}$$

Since 1 is less than 47, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)1000}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)1000}\\\end{array}$$

Since 10 is less than 47, use the next digit 0 from dividend 1000 and add 0 to the quotient

$$\begin{array}{l}\phantom{47)}00\phantom{4}\\47\overline{)1000}\\\end{array}$$

Use the 3^{rd} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{47)}00\phantom{5}\\47\overline{)1000}\\\end{array}$$

Find closest multiple of 47 to 100. We see that 2 \times 47 = 94 is the nearest. Now subtract 94 from 100 to get reminder 6. Add 2 to quotient.

$$\begin{array}{l}\phantom{47)}002\phantom{6}\\47\overline{)1000}\\\phantom{47)}\underline{\phantom{9}94\phantom{9}}\\\phantom{47)99}6\\\end{array}$$

Use the 4^{th} digit 0 from dividend 1000

$$\begin{array}{l}\phantom{47)}002\phantom{7}\\47\overline{)1000}\\\phantom{47)}\underline{\phantom{9}94\phantom{9}}\\\phantom{47)99}60\\\end{array}$$

Find closest multiple of 47 to 60. We see that 1 \times 47 = 47 is the nearest. Now subtract 47 from 60 to get reminder 13. Add 1 to quotient.

$$\begin{array}{l}\phantom{47)}0021\phantom{8}\\47\overline{)1000}\\\phantom{47)}\underline{\phantom{9}94\phantom{9}}\\\phantom{47)99}60\\\phantom{47)}\underline{\phantom{99}47\phantom{}}\\\phantom{47)99}13\\\end{array}$$

Since 13 is less than 47, stop the division. The reminder is 13. The topmost line 0021 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 21.

$$\text{Quotient: }21 \text{Reminder: }13$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3}}{47} = 21\frac{13}{47} = 21.27659574468085$$