Solve 115129div341

$$115129 \div 341$$

Evaluate

$$\frac{115129}{341}\approx 337.62170088$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 115129

$$\begin{array}{l}\phantom{341)}\phantom{1}\\341\overline{)115129}\\\end{array}$$

Since 1 is less than 341, use the next digit 1 from dividend 115129 and add 0 to the quotient

$$\begin{array}{l}\phantom{341)}0\phantom{2}\\341\overline{)115129}\\\end{array}$$

Use the 2^{nd} digit 1 from dividend 115129

$$\begin{array}{l}\phantom{341)}0\phantom{3}\\341\overline{)115129}\\\end{array}$$

Since 11 is less than 341, use the next digit 5 from dividend 115129 and add 0 to the quotient

$$\begin{array}{l}\phantom{341)}00\phantom{4}\\341\overline{)115129}\\\end{array}$$

Use the 3^{rd} digit 5 from dividend 115129

$$\begin{array}{l}\phantom{341)}00\phantom{5}\\341\overline{)115129}\\\end{array}$$

Since 115 is less than 341, use the next digit 1 from dividend 115129 and add 0 to the quotient

$$\begin{array}{l}\phantom{341)}000\phantom{6}\\341\overline{)115129}\\\end{array}$$

Use the 4^{th} digit 1 from dividend 115129

$$\begin{array}{l}\phantom{341)}000\phantom{7}\\341\overline{)115129}\\\end{array}$$

Find closest multiple of 341 to 1151. We see that 3 \times 341 = 1023 is the nearest. Now subtract 1023 from 1151 to get reminder 128. Add 3 to quotient.

$$\begin{array}{l}\phantom{341)}0003\phantom{8}\\341\overline{)115129}\\\phantom{341)}\underline{\phantom{}1023\phantom{99}}\\\phantom{341)9}128\\\end{array}$$

Use the 5^{th} digit 2 from dividend 115129

$$\begin{array}{l}\phantom{341)}0003\phantom{9}\\341\overline{)115129}\\\phantom{341)}\underline{\phantom{}1023\phantom{99}}\\\phantom{341)9}1282\\\end{array}$$

Find closest multiple of 341 to 1282. We see that 3 \times 341 = 1023 is the nearest. Now subtract 1023 from 1282 to get reminder 259. Add 3 to quotient.

$$\begin{array}{l}\phantom{341)}00033\phantom{10}\\341\overline{)115129}\\\phantom{341)}\underline{\phantom{}1023\phantom{99}}\\\phantom{341)9}1282\\\phantom{341)}\underline{\phantom{9}1023\phantom{9}}\\\phantom{341)99}259\\\end{array}$$

Use the 6^{th} digit 9 from dividend 115129

$$\begin{array}{l}\phantom{341)}00033\phantom{11}\\341\overline{)115129}\\\phantom{341)}\underline{\phantom{}1023\phantom{99}}\\\phantom{341)9}1282\\\phantom{341)}\underline{\phantom{9}1023\phantom{9}}\\\phantom{341)99}2599\\\end{array}$$

Find closest multiple of 341 to 2599. We see that 7 \times 341 = 2387 is the nearest. Now subtract 2387 from 2599 to get reminder 212. Add 7 to quotient.

$$\begin{array}{l}\phantom{341)}000337\phantom{12}\\341\overline{)115129}\\\phantom{341)}\underline{\phantom{}1023\phantom{99}}\\\phantom{341)9}1282\\\phantom{341)}\underline{\phantom{9}1023\phantom{9}}\\\phantom{341)99}2599\\\phantom{341)}\underline{\phantom{99}2387\phantom{}}\\\phantom{341)999}212\\\end{array}$$

Since 212 is less than 341, stop the division. The reminder is 212. The topmost line 000337 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 337.

$$\text{Quotient: }337 \text{Reminder: }212$$

Factor

$$\frac{7 \cdot 16447}{11 \cdot 31} = 337\frac{212}{341} = 337.6217008797654$$