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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 898 · 40 sums
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The trick (Nikhilam Navatashcaramam Dashatah): Write the complement of the divisor (8 → 2, 97 → 03, 88 → 12, 997 → 003, 897 → 103). Split off as many last digits as the base has zeros (1 for 8, 2 for 88, 3 for 997) — that is the remainder part. Bring down each column total, multiply it by the complement, and add the result under the next column(s). If the remainder is not smaller than the divisor, divide it again and add to the quotient.

NameDateTime takenScore ___ / 40
  1. 1.732865 ÷ 997 =
  2. 2.247672 ÷ 998 =
  3. 3.45940 ÷ 88 =
  4. 4.27674 ÷ 97 =
  5. 5.84804 ÷ 88 =
  6. 6.4900 ÷ 8 =
  7. 7.44031 ÷ 98 =
  8. 8.94304 ÷ 96 =
  9. 9.21467 ÷ 988 =
  10. 10.3515 ÷ 8 =
  11. 11.48633 ÷ 989 =
  12. 12.81740 ÷ 96 =
  13. 13.22726 ÷ 96 =
  14. 14.816015 ÷ 989 =
  15. 15.92517 ÷ 97 =
  16. 16.37293 ÷ 88 =
  17. 17.1009 ÷ 8 =
  18. 18.71527 ÷ 89 =
  19. 19.420777 ÷ 988 =
  20. 20.60645 ÷ 98 =
  21. 21.87729 ÷ 88 =
  22. 22.429359 ÷ 989 =
  23. 23.18441 ÷ 98 =
  24. 24.239120 ÷ 989 =
  25. 25.81017 ÷ 97 =
  26. 26.36225 ÷ 97 =
  27. 27.638225 ÷ 988 =
  28. 28.34088 ÷ 97 =
  29. 29.36479 ÷ 97 =
  30. 30.2978 ÷ 8 =
  31. 31.482549 ÷ 998 =
  32. 32.412916 ÷ 989 =
  33. 33.213165 ÷ 998 =
  34. 34.414757 ÷ 997 =
  35. 35.431926 ÷ 998 =
  36. 36.45096 ÷ 89 =
  37. 37.68895 ÷ 88 =
  38. 38.260482 ÷ 997 =
  39. 39.71345 ÷ 98 =
  40. 40.841495 ÷ 897 =

Answer key

  1. 735 rem 70
  2. 248 rem 168
  3. 522 rem 4
  4. 285 rem 29
  5. 963 rem 60
  6. 612 rem 4
  7. 449 rem 29
  8. 982 rem 32
  9. 21 rem 719
  10. 439 rem 3
  11. 49 rem 172
  12. 851 rem 44
  13. 236 rem 70
  14. 825 rem 90
  15. 953 rem 76
  16. 423 rem 69
  17. 126 rem 1
  18. 803 rem 60
  19. 425 rem 877
  20. 618 rem 81
  21. 996 rem 81
  22. 434 rem 133
  23. 188 rem 17
  24. 241 rem 771
  25. 835 rem 22
  26. 373 rem 44
  27. 645 rem 965
  28. 351 rem 41
  29. 376 rem 7
  30. 372 rem 2
  31. 483 rem 515
  32. 417 rem 503
  33. 213 rem 591
  34. 416 rem 5
  35. 432 rem 790
  36. 506 rem 62
  37. 782 rem 79
  38. 261 rem 265
  39. 728 rem 1
  40. 938 rem 109

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