Solve 8070div204

$$8070 \div 204$$

Evaluate

$$\frac{1345}{34}\approx 39.558823529$$

Steps For Long Division Method

Use the 1^{st} digit 8 from dividend 8070

$$\begin{array}{l}\phantom{204)}\phantom{1}\\204\overline{)8070}\\\end{array}$$

Since 8 is less than 204, use the next digit 0 from dividend 8070 and add 0 to the quotient

$$\begin{array}{l}\phantom{204)}0\phantom{2}\\204\overline{)8070}\\\end{array}$$

Use the 2^{nd} digit 0 from dividend 8070

$$\begin{array}{l}\phantom{204)}0\phantom{3}\\204\overline{)8070}\\\end{array}$$

Since 80 is less than 204, use the next digit 7 from dividend 8070 and add 0 to the quotient

$$\begin{array}{l}\phantom{204)}00\phantom{4}\\204\overline{)8070}\\\end{array}$$

Use the 3^{rd} digit 7 from dividend 8070

$$\begin{array}{l}\phantom{204)}00\phantom{5}\\204\overline{)8070}\\\end{array}$$

Find closest multiple of 204 to 807. We see that 3 \times 204 = 612 is the nearest. Now subtract 612 from 807 to get reminder 195. Add 3 to quotient.

$$\begin{array}{l}\phantom{204)}003\phantom{6}\\204\overline{)8070}\\\phantom{204)}\underline{\phantom{}612\phantom{9}}\\\phantom{204)}195\\\end{array}$$

Use the 4^{th} digit 0 from dividend 8070

$$\begin{array}{l}\phantom{204)}003\phantom{7}\\204\overline{)8070}\\\phantom{204)}\underline{\phantom{}612\phantom{9}}\\\phantom{204)}1950\\\end{array}$$

Find closest multiple of 204 to 1950. We see that 9 \times 204 = 1836 is the nearest. Now subtract 1836 from 1950 to get reminder 114. Add 9 to quotient.

$$\begin{array}{l}\phantom{204)}0039\phantom{8}\\204\overline{)8070}\\\phantom{204)}\underline{\phantom{}612\phantom{9}}\\\phantom{204)}1950\\\phantom{204)}\underline{\phantom{}1836\phantom{}}\\\phantom{204)9}114\\\end{array}$$

Since 114 is less than 204, stop the division. The reminder is 114. The topmost line 0039 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 39.

$$\text{Quotient: }39 \text{Reminder: }114$$

Factor

$$\frac{5 \cdot 269}{2 \cdot 17} = 39\frac{19}{34} = 39.55882352941177$$