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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 356 · 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. 1.572498 ÷ 988 =
  2. 2.726225 ÷ 897 =
  3. 3.759829 ÷ 989 =
  4. 4.35873 ÷ 897 =
  5. 5.14930 ÷ 96 =
  6. 6.16938 ÷ 897 =
  7. 7.88737 ÷ 97 =
  8. 8.53156 ÷ 88 =
  9. 9.8243 ÷ 8 =
  10. 10.11480 ÷ 89 =
  11. 11.95318 ÷ 96 =
  12. 12.748582 ÷ 988 =
  13. 13.66449 ÷ 97 =
  14. 14.47335 ÷ 96 =
  15. 15.101104 ÷ 989 =
  16. 16.18527 ÷ 96 =
  17. 17.339 ÷ 8 =
  18. 18.607418 ÷ 997 =
  19. 19.97565 ÷ 98 =
  20. 20.56759 ÷ 98 =
  21. 21.5426 ÷ 96 =
  22. 22.262661 ÷ 998 =
  23. 23.7306 ÷ 8 =
  24. 24.67367 ÷ 89 =
  25. 25.67715 ÷ 96 =
  26. 26.352491 ÷ 998 =
  27. 27.810128 ÷ 897 =
  28. 28.530229 ÷ 997 =
  29. 29.14361 ÷ 98 =
  30. 30.35318 ÷ 98 =
  31. 31.81422 ÷ 97 =
  32. 32.48817 ÷ 989 =
  33. 33.7829 ÷ 8 =
  34. 34.27010 ÷ 98 =
  35. 35.651416 ÷ 998 =
  36. 36.18832 ÷ 897 =
  37. 37.383685 ÷ 989 =
  38. 38.763436 ÷ 988 =
  39. 39.62817 ÷ 89 =
  40. 40.28916 ÷ 98 =

Answer key

  1. 579 rem 446
  2. 809 rem 552
  3. 768 rem 277
  4. 39 rem 890
  5. 155 rem 50
  6. 18 rem 792
  7. 914 rem 79
  8. 604 rem 4
  9. 1030 rem 3
  10. 128 rem 88
  11. 992 rem 86
  12. 757 rem 666
  13. 685 rem 4
  14. 493 rem 7
  15. 102 rem 226
  16. 192 rem 95
  17. 42 rem 3
  18. 609 rem 245
  19. 995 rem 55
  20. 579 rem 17
  21. 56 rem 50
  22. 263 rem 187
  23. 913 rem 2
  24. 756 rem 83
  25. 705 rem 35
  26. 353 rem 197
  27. 903 rem 137
  28. 531 rem 822
  29. 146 rem 53
  30. 360 rem 38
  31. 839 rem 39
  32. 49 rem 356
  33. 978 rem 5
  34. 275 rem 60
  35. 652 rem 720
  36. 20 rem 892
  37. 387 rem 942
  38. 772 rem 700
  39. 705 rem 72
  40. 295 rem 6

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