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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 899 · 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. 1.15262 ÷ 88 =
  2. 2.989000 ÷ 897 =
  3. 3.264604 ÷ 989 =
  4. 4.3384 ÷ 8 =
  5. 5.11369 ÷ 88 =
  6. 6.4373 ÷ 8 =
  7. 7.58601 ÷ 98 =
  8. 8.63563 ÷ 897 =
  9. 9.76888 ÷ 96 =
  10. 10.42408 ÷ 98 =
  11. 11.102539 ÷ 988 =
  12. 12.25638 ÷ 88 =
  13. 13.210952 ÷ 897 =
  14. 14.365688 ÷ 998 =
  15. 15.3445 ÷ 8 =
  16. 16.528729 ÷ 997 =
  17. 17.29438 ÷ 997 =
  18. 18.985358 ÷ 989 =
  19. 19.46074 ÷ 96 =
  20. 20.8195 ÷ 8 =
  21. 21.60087 ÷ 89 =
  22. 22.5001 ÷ 98 =
  23. 23.216126 ÷ 988 =
  24. 24.840471 ÷ 989 =
  25. 25.21877 ÷ 88 =
  26. 26.31454 ÷ 97 =
  27. 27.12516 ÷ 88 =
  28. 28.5088 ÷ 8 =
  29. 29.99496 ÷ 97 =
  30. 30.5118 ÷ 97 =
  31. 31.84806 ÷ 88 =
  32. 32.454320 ÷ 988 =
  33. 33.59786 ÷ 97 =
  34. 34.54921 ÷ 88 =
  35. 35.9218 ÷ 88 =
  36. 36.416773 ÷ 997 =
  37. 37.3674 ÷ 8 =
  38. 38.247 ÷ 8 =
  39. 39.31044 ÷ 98 =
  40. 40.544986 ÷ 997 =

Answer key

  1. 173 rem 38
  2. 1102 rem 506
  3. 267 rem 541
  4. 423 rem 0
  5. 129 rem 17
  6. 546 rem 5
  7. 597 rem 95
  8. 70 rem 773
  9. 800 rem 88
  10. 432 rem 72
  11. 103 rem 775
  12. 291 rem 30
  13. 235 rem 157
  14. 366 rem 420
  15. 430 rem 5
  16. 530 rem 319
  17. 29 rem 525
  18. 996 rem 314
  19. 479 rem 90
  20. 1024 rem 3
  21. 675 rem 12
  22. 51 rem 3
  23. 218 rem 742
  24. 849 rem 810
  25. 248 rem 53
  26. 324 rem 26
  27. 142 rem 20
  28. 636 rem 0
  29. 1025 rem 71
  30. 52 rem 74
  31. 963 rem 62
  32. 459 rem 828
  33. 616 rem 34
  34. 624 rem 9
  35. 104 rem 66
  36. 418 rem 27
  37. 459 rem 2
  38. 30 rem 7
  39. 316 rem 76
  40. 546 rem 624

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