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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 735 · 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. 1.54928 ÷ 89 =
  2. 2.36390 ÷ 897 =
  3. 3.73504 ÷ 97 =
  4. 4.39216 ÷ 997 =
  5. 5.38398 ÷ 96 =
  6. 6.76740 ÷ 97 =
  7. 7.751115 ÷ 989 =
  8. 8.8841 ÷ 8 =
  9. 9.50552 ÷ 97 =
  10. 10.380590 ÷ 989 =
  11. 11.171836 ÷ 988 =
  12. 12.102786 ÷ 897 =
  13. 13.5091 ÷ 89 =
  14. 14.6666 ÷ 8 =
  15. 15.661320 ÷ 997 =
  16. 16.11391 ÷ 89 =
  17. 17.67413 ÷ 89 =
  18. 18.53016 ÷ 97 =
  19. 19.201384 ÷ 998 =
  20. 20.125207 ÷ 897 =
  21. 21.412918 ÷ 897 =
  22. 22.27930 ÷ 96 =
  23. 23.44916 ÷ 97 =
  24. 24.1000 ÷ 96 =
  25. 25.544299 ÷ 998 =
  26. 26.4880 ÷ 8 =
  27. 27.85295 ÷ 98 =
  28. 28.51634 ÷ 97 =
  29. 29.14145 ÷ 88 =
  30. 30.220475 ÷ 998 =
  31. 31.607349 ÷ 897 =
  32. 32.49661 ÷ 88 =
  33. 33.49297 ÷ 88 =
  34. 34.807623 ÷ 997 =
  35. 35.328257 ÷ 988 =
  36. 36.940835 ÷ 897 =
  37. 37.2959 ÷ 8 =
  38. 38.98822 ÷ 89 =
  39. 39.62787 ÷ 89 =
  40. 40.217294 ÷ 997 =

Answer key

  1. 617 rem 15
  2. 40 rem 510
  3. 757 rem 75
  4. 39 rem 333
  5. 399 rem 94
  6. 791 rem 13
  7. 759 rem 464
  8. 1105 rem 1
  9. 521 rem 15
  10. 384 rem 814
  11. 173 rem 912
  12. 114 rem 528
  13. 57 rem 18
  14. 833 rem 2
  15. 663 rem 309
  16. 127 rem 88
  17. 757 rem 40
  18. 546 rem 54
  19. 201 rem 786
  20. 139 rem 524
  21. 460 rem 298
  22. 290 rem 90
  23. 463 rem 5
  24. 10 rem 40
  25. 545 rem 389
  26. 610 rem 0
  27. 870 rem 35
  28. 532 rem 30
  29. 160 rem 65
  30. 220 rem 915
  31. 677 rem 80
  32. 564 rem 29
  33. 560 rem 17
  34. 810 rem 53
  35. 332 rem 241
  36. 1048 rem 779
  37. 369 rem 7
  38. 1110 rem 32
  39. 705 rem 42
  40. 217 rem 945

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