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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 374 · 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. 1.90985 ÷ 98 =
  2. 2.406135 ÷ 989 =
  3. 3.110201 ÷ 998 =
  4. 4.439326 ÷ 997 =
  5. 5.41107 ÷ 97 =
  6. 6.969624 ÷ 988 =
  7. 7.778436 ÷ 989 =
  8. 8.9361 ÷ 98 =
  9. 9.363838 ÷ 988 =
  10. 10.43098 ÷ 89 =
  11. 11.67703 ÷ 897 =
  12. 12.240436 ÷ 988 =
  13. 13.481477 ÷ 989 =
  14. 14.147424 ÷ 988 =
  15. 15.290595 ÷ 997 =
  16. 16.9340 ÷ 8 =
  17. 17.4251 ÷ 88 =
  18. 18.6526 ÷ 8 =
  19. 19.72290 ÷ 98 =
  20. 20.877598 ÷ 997 =
  21. 21.794178 ÷ 997 =
  22. 22.35711 ÷ 88 =
  23. 23.322907 ÷ 989 =
  24. 24.334301 ÷ 997 =
  25. 25.9599 ÷ 88 =
  26. 26.72914 ÷ 989 =
  27. 27.48486 ÷ 96 =
  28. 28.139532 ÷ 989 =
  29. 29.555349 ÷ 989 =
  30. 30.919301 ÷ 897 =
  31. 31.87079 ÷ 98 =
  32. 32.42952 ÷ 89 =
  33. 33.463706 ÷ 988 =
  34. 34.86625 ÷ 96 =
  35. 35.9871 ÷ 8 =
  36. 36.840223 ÷ 988 =
  37. 37.29528 ÷ 88 =
  38. 38.1489 ÷ 8 =
  39. 39.1079 ÷ 8 =
  40. 40.14958 ÷ 98 =

Answer key

  1. 928 rem 41
  2. 410 rem 645
  3. 110 rem 421
  4. 440 rem 646
  5. 423 rem 76
  6. 981 rem 396
  7. 787 rem 93
  8. 95 rem 51
  9. 368 rem 254
  10. 484 rem 22
  11. 75 rem 428
  12. 243 rem 352
  13. 486 rem 823
  14. 149 rem 212
  15. 291 rem 468
  16. 1167 rem 4
  17. 48 rem 27
  18. 815 rem 6
  19. 737 rem 64
  20. 880 rem 238
  21. 796 rem 566
  22. 405 rem 71
  23. 326 rem 493
  24. 335 rem 306
  25. 109 rem 7
  26. 73 rem 717
  27. 505 rem 6
  28. 141 rem 83
  29. 561 rem 520
  30. 1024 rem 773
  31. 888 rem 55
  32. 482 rem 54
  33. 469 rem 334
  34. 902 rem 33
  35. 1233 rem 7
  36. 850 rem 423
  37. 335 rem 48
  38. 186 rem 1
  39. 134 rem 7
  40. 152 rem 62

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