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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 61 · 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. 1.1882 ÷ 89 =
  2. 2.206251 ÷ 989 =
  3. 3.8595 ÷ 88 =
  4. 4.64383 ÷ 96 =
  5. 5.1660 ÷ 96 =
  6. 6.6418 ÷ 97 =
  7. 7.71946 ÷ 897 =
  8. 8.55478 ÷ 89 =
  9. 9.595117 ÷ 988 =
  10. 10.8693 ÷ 97 =
  11. 11.4773 ÷ 97 =
  12. 12.31555 ÷ 97 =
  13. 13.68303 ÷ 96 =
  14. 14.8184 ÷ 8 =
  15. 15.363856 ÷ 997 =
  16. 16.9089 ÷ 96 =
  17. 17.113651 ÷ 897 =
  18. 18.64148 ÷ 997 =
  19. 19.846205 ÷ 989 =
  20. 20.44496 ÷ 97 =
  21. 21.20832 ÷ 97 =
  22. 22.796012 ÷ 897 =
  23. 23.941578 ÷ 997 =
  24. 24.41752 ÷ 97 =
  25. 25.43877 ÷ 98 =
  26. 26.691482 ÷ 989 =
  27. 27.623131 ÷ 897 =
  28. 28.424935 ÷ 997 =
  29. 29.13779 ÷ 98 =
  30. 30.26667 ÷ 89 =
  31. 31.794963 ÷ 897 =
  32. 32.734207 ÷ 989 =
  33. 33.173739 ÷ 998 =
  34. 34.67409 ÷ 988 =
  35. 35.85537 ÷ 89 =
  36. 36.32142 ÷ 97 =
  37. 37.9102 ÷ 8 =
  38. 38.18377 ÷ 88 =
  39. 39.990554 ÷ 998 =
  40. 40.72518 ÷ 997 =

Answer key

  1. 21 rem 13
  2. 208 rem 539
  3. 97 rem 59
  4. 670 rem 63
  5. 17 rem 28
  6. 66 rem 16
  7. 80 rem 186
  8. 623 rem 31
  9. 602 rem 341
  10. 89 rem 60
  11. 49 rem 20
  12. 325 rem 30
  13. 711 rem 47
  14. 1023 rem 0
  15. 364 rem 948
  16. 94 rem 65
  17. 126 rem 629
  18. 64 rem 340
  19. 855 rem 610
  20. 458 rem 70
  21. 214 rem 74
  22. 887 rem 373
  23. 944 rem 410
  24. 430 rem 42
  25. 447 rem 71
  26. 699 rem 171
  27. 694 rem 613
  28. 426 rem 213
  29. 140 rem 59
  30. 299 rem 56
  31. 886 rem 221
  32. 742 rem 369
  33. 174 rem 87
  34. 68 rem 225
  35. 961 rem 8
  36. 331 rem 35
  37. 1137 rem 6
  38. 208 rem 73
  39. 992 rem 538
  40. 72 rem 734

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