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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 244 · 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. 1.175674 ÷ 989 =
  2. 2.277780 ÷ 897 =
  3. 3.3172 ÷ 8 =
  4. 4.36780 ÷ 89 =
  5. 5.119700 ÷ 897 =
  6. 6.36605 ÷ 98 =
  7. 7.80876 ÷ 96 =
  8. 8.704771 ÷ 988 =
  9. 9.431473 ÷ 998 =
  10. 10.70390 ÷ 98 =
  11. 11.27768 ÷ 97 =
  12. 12.1600 ÷ 98 =
  13. 13.40746 ÷ 96 =
  14. 14.42854 ÷ 88 =
  15. 15.368325 ÷ 989 =
  16. 16.822 ÷ 8 =
  17. 17.38009 ÷ 997 =
  18. 18.976838 ÷ 998 =
  19. 19.746693 ÷ 997 =
  20. 20.3856 ÷ 8 =
  21. 21.767161 ÷ 989 =
  22. 22.103869 ÷ 998 =
  23. 23.12187 ÷ 989 =
  24. 24.801535 ÷ 897 =
  25. 25.20609 ÷ 88 =
  26. 26.1017 ÷ 8 =
  27. 27.89973 ÷ 98 =
  28. 28.194851 ÷ 988 =
  29. 29.719370 ÷ 989 =
  30. 30.587121 ÷ 988 =
  31. 31.50481 ÷ 88 =
  32. 32.403146 ÷ 988 =
  33. 33.119224 ÷ 988 =
  34. 34.9109 ÷ 8 =
  35. 35.957001 ÷ 989 =
  36. 36.3710 ÷ 98 =
  37. 37.18646 ÷ 89 =
  38. 38.2267 ÷ 88 =
  39. 39.466486 ÷ 989 =
  40. 40.660338 ÷ 997 =

Answer key

  1. 177 rem 621
  2. 309 rem 607
  3. 396 rem 4
  4. 413 rem 23
  5. 133 rem 399
  6. 373 rem 51
  7. 842 rem 44
  8. 713 rem 327
  9. 432 rem 337
  10. 718 rem 26
  11. 286 rem 26
  12. 16 rem 32
  13. 424 rem 42
  14. 486 rem 86
  15. 372 rem 417
  16. 102 rem 6
  17. 38 rem 123
  18. 978 rem 794
  19. 748 rem 937
  20. 482 rem 0
  21. 775 rem 686
  22. 104 rem 77
  23. 12 rem 319
  24. 893 rem 514
  25. 234 rem 17
  26. 127 rem 1
  27. 918 rem 9
  28. 197 rem 215
  29. 727 rem 367
  30. 594 rem 249
  31. 573 rem 57
  32. 408 rem 42
  33. 120 rem 664
  34. 1138 rem 5
  35. 967 rem 638
  36. 37 rem 84
  37. 209 rem 45
  38. 25 rem 67
  39. 471 rem 667
  40. 662 rem 324

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