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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 758 · 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. 1.69000 ÷ 88 =
  2. 2.584400 ÷ 997 =
  3. 3.811556 ÷ 988 =
  4. 4.99807 ÷ 97 =
  5. 5.272869 ÷ 998 =
  6. 6.441461 ÷ 997 =
  7. 7.22204 ÷ 97 =
  8. 8.153734 ÷ 989 =
  9. 9.71112 ÷ 88 =
  10. 10.455053 ÷ 988 =
  11. 11.249377 ÷ 989 =
  12. 12.42292 ÷ 89 =
  13. 13.88205 ÷ 97 =
  14. 14.67757 ÷ 96 =
  15. 15.507931 ÷ 997 =
  16. 16.994131 ÷ 998 =
  17. 17.736276 ÷ 989 =
  18. 18.15106 ÷ 988 =
  19. 19.26164 ÷ 88 =
  20. 20.711291 ÷ 997 =
  21. 21.7563 ÷ 88 =
  22. 22.159372 ÷ 988 =
  23. 23.317230 ÷ 997 =
  24. 24.42595 ÷ 96 =
  25. 25.96677 ÷ 97 =
  26. 26.946 ÷ 8 =
  27. 27.773596 ÷ 897 =
  28. 28.70971 ÷ 97 =
  29. 29.566173 ÷ 998 =
  30. 30.45500 ÷ 97 =
  31. 31.52185 ÷ 88 =
  32. 32.14540 ÷ 89 =
  33. 33.729759 ÷ 989 =
  34. 34.35287 ÷ 98 =
  35. 35.454206 ÷ 998 =
  36. 36.82375 ÷ 97 =
  37. 37.521459 ÷ 989 =
  38. 38.438472 ÷ 897 =
  39. 39.10574 ÷ 89 =
  40. 40.74409 ÷ 96 =

Answer key

  1. 784 rem 8
  2. 586 rem 158
  3. 821 rem 408
  4. 1028 rem 91
  5. 273 rem 415
  6. 442 rem 787
  7. 228 rem 88
  8. 155 rem 439
  9. 808 rem 8
  10. 460 rem 573
  11. 252 rem 149
  12. 475 rem 17
  13. 909 rem 32
  14. 705 rem 77
  15. 509 rem 458
  16. 996 rem 123
  17. 744 rem 460
  18. 15 rem 286
  19. 297 rem 28
  20. 713 rem 430
  21. 85 rem 83
  22. 161 rem 304
  23. 318 rem 184
  24. 443 rem 67
  25. 996 rem 65
  26. 118 rem 2
  27. 862 rem 382
  28. 731 rem 64
  29. 567 rem 307
  30. 469 rem 7
  31. 593 rem 1
  32. 163 rem 33
  33. 737 rem 866
  34. 360 rem 7
  35. 455 rem 116
  36. 849 rem 22
  37. 527 rem 256
  38. 488 rem 736
  39. 118 rem 72
  40. 775 rem 9

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