Solve 34941div47

$$34941 \div 47$$

Evaluate

$$\frac{34941}{47}\approx 743.425531915$$

Steps For Long Division Method

Use the 1^{st} digit 3 from dividend 34941

$$\begin{array}{l}\phantom{47)}\phantom{1}\\47\overline{)34941}\\\end{array}$$

Since 3 is less than 47, use the next digit 4 from dividend 34941 and add 0 to the quotient

$$\begin{array}{l}\phantom{47)}0\phantom{2}\\47\overline{)34941}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 34941

$$\begin{array}{l}\phantom{47)}0\phantom{3}\\47\overline{)34941}\\\end{array}$$

Since 34 is less than 47, use the next digit 9 from dividend 34941 and add 0 to the quotient

$$\begin{array}{l}\phantom{47)}00\phantom{4}\\47\overline{)34941}\\\end{array}$$

Use the 3^{rd} digit 9 from dividend 34941

$$\begin{array}{l}\phantom{47)}00\phantom{5}\\47\overline{)34941}\\\end{array}$$

Find closest multiple of 47 to 349. We see that 7 \times 47 = 329 is the nearest. Now subtract 329 from 349 to get reminder 20. Add 7 to quotient.

$$\begin{array}{l}\phantom{47)}007\phantom{6}\\47\overline{)34941}\\\phantom{47)}\underline{\phantom{}329\phantom{99}}\\\phantom{47)9}20\\\end{array}$$

Use the 4^{th} digit 4 from dividend 34941

$$\begin{array}{l}\phantom{47)}007\phantom{7}\\47\overline{)34941}\\\phantom{47)}\underline{\phantom{}329\phantom{99}}\\\phantom{47)9}204\\\end{array}$$

Find closest multiple of 47 to 204. We see that 4 \times 47 = 188 is the nearest. Now subtract 188 from 204 to get reminder 16. Add 4 to quotient.

$$\begin{array}{l}\phantom{47)}0074\phantom{8}\\47\overline{)34941}\\\phantom{47)}\underline{\phantom{}329\phantom{99}}\\\phantom{47)9}204\\\phantom{47)}\underline{\phantom{9}188\phantom{9}}\\\phantom{47)99}16\\\end{array}$$

Use the 5^{th} digit 1 from dividend 34941

$$\begin{array}{l}\phantom{47)}0074\phantom{9}\\47\overline{)34941}\\\phantom{47)}\underline{\phantom{}329\phantom{99}}\\\phantom{47)9}204\\\phantom{47)}\underline{\phantom{9}188\phantom{9}}\\\phantom{47)99}161\\\end{array}$$

Find closest multiple of 47 to 161. We see that 3 \times 47 = 141 is the nearest. Now subtract 141 from 161 to get reminder 20. Add 3 to quotient.

$$\begin{array}{l}\phantom{47)}00743\phantom{10}\\47\overline{)34941}\\\phantom{47)}\underline{\phantom{}329\phantom{99}}\\\phantom{47)9}204\\\phantom{47)}\underline{\phantom{9}188\phantom{9}}\\\phantom{47)99}161\\\phantom{47)}\underline{\phantom{99}141\phantom{}}\\\phantom{47)999}20\\\end{array}$$

Since 20 is less than 47, stop the division. The reminder is 20. The topmost line 00743 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 743.

$$\text{Quotient: }743 \text{Reminder: }20$$

Factor

$$\frac{3 \cdot 19 \cdot 613}{47} = 743\frac{20}{47} = 743.4255319148937$$