Solve 8946div38

$$8946 \div 38$$

Evaluate

$$\frac{4473}{19}\approx 235.421052632$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8946

$$\begin{array}{l}\phantom{38)}\phantom{1}\\38\overline{)8946}\\\end{array}$$

Since 8 is less than 38, use the next digit 9 from dividend 8946 and add 0 to the quotient

$$\begin{array}{l}\phantom{38)}0\phantom{2}\\38\overline{)8946}\\\end{array}$$

Use the 2^{nd} digit 9 from dividend 8946

$$\begin{array}{l}\phantom{38)}0\phantom{3}\\38\overline{)8946}\\\end{array}$$

Find closest multiple of 38 to 89. We see that 2 \times 38 = 76 is the nearest. Now subtract 76 from 89 to get reminder 13. Add 2 to quotient.

$$\begin{array}{l}\phantom{38)}02\phantom{4}\\38\overline{)8946}\\\phantom{38)}\underline{\phantom{}76\phantom{99}}\\\phantom{38)}13\\\end{array}$$

Use the 3^{rd} digit 4 from dividend 8946

$$\begin{array}{l}\phantom{38)}02\phantom{5}\\38\overline{)8946}\\\phantom{38)}\underline{\phantom{}76\phantom{99}}\\\phantom{38)}134\\\end{array}$$

Find closest multiple of 38 to 134. We see that 3 \times 38 = 114 is the nearest. Now subtract 114 from 134 to get reminder 20. Add 3 to quotient.

$$\begin{array}{l}\phantom{38)}023\phantom{6}\\38\overline{)8946}\\\phantom{38)}\underline{\phantom{}76\phantom{99}}\\\phantom{38)}134\\\phantom{38)}\underline{\phantom{}114\phantom{9}}\\\phantom{38)9}20\\\end{array}$$

Use the 4^{th} digit 6 from dividend 8946

$$\begin{array}{l}\phantom{38)}023\phantom{7}\\38\overline{)8946}\\\phantom{38)}\underline{\phantom{}76\phantom{99}}\\\phantom{38)}134\\\phantom{38)}\underline{\phantom{}114\phantom{9}}\\\phantom{38)9}206\\\end{array}$$

Find closest multiple of 38 to 206. We see that 5 \times 38 = 190 is the nearest. Now subtract 190 from 206 to get reminder 16. Add 5 to quotient.

$$\begin{array}{l}\phantom{38)}0235\phantom{8}\\38\overline{)8946}\\\phantom{38)}\underline{\phantom{}76\phantom{99}}\\\phantom{38)}134\\\phantom{38)}\underline{\phantom{}114\phantom{9}}\\\phantom{38)9}206\\\phantom{38)}\underline{\phantom{9}190\phantom{}}\\\phantom{38)99}16\\\end{array}$$

Since 16 is less than 38, stop the division. The reminder is 16. The topmost line 0235 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 235.

$$\text{Quotient: }235 \text{Reminder: }16$$

Factor

$$\frac{3 ^ {2} \cdot 7 \cdot 71}{19} = 235\frac{8}{19} = 235.42105263157896$$