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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 781 · 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. 1.8422 ÷ 8 =
  2. 2.522401 ÷ 997 =
  3. 3.74149 ÷ 89 =
  4. 4.9003 ÷ 88 =
  5. 5.55274 ÷ 89 =
  6. 6.613846 ÷ 988 =
  7. 7.378439 ÷ 897 =
  8. 8.678769 ÷ 989 =
  9. 9.810191 ÷ 988 =
  10. 10.839 ÷ 8 =
  11. 11.650627 ÷ 998 =
  12. 12.335141 ÷ 897 =
  13. 13.6954 ÷ 89 =
  14. 14.17069 ÷ 897 =
  15. 15.352624 ÷ 897 =
  16. 16.39616 ÷ 89 =
  17. 17.39619 ÷ 988 =
  18. 18.3185 ÷ 96 =
  19. 19.95396 ÷ 96 =
  20. 20.42771 ÷ 89 =
  21. 21.641161 ÷ 998 =
  22. 22.40619 ÷ 97 =
  23. 23.65529 ÷ 97 =
  24. 24.9183 ÷ 8 =
  25. 25.90774 ÷ 89 =
  26. 26.4958 ÷ 8 =
  27. 27.781504 ÷ 897 =
  28. 28.7764 ÷ 8 =
  29. 29.347497 ÷ 897 =
  30. 30.53198 ÷ 89 =
  31. 31.949217 ÷ 897 =
  32. 32.54198 ÷ 97 =
  33. 33.702905 ÷ 989 =
  34. 34.63000 ÷ 98 =
  35. 35.470070 ÷ 997 =
  36. 36.21270 ÷ 89 =
  37. 37.733518 ÷ 897 =
  38. 38.9664 ÷ 8 =
  39. 39.207741 ÷ 989 =
  40. 40.475388 ÷ 989 =

Answer key

  1. 1052 rem 6
  2. 523 rem 970
  3. 833 rem 12
  4. 102 rem 27
  5. 621 rem 5
  6. 621 rem 298
  7. 421 rem 802
  8. 686 rem 315
  9. 820 rem 31
  10. 104 rem 7
  11. 651 rem 929
  12. 373 rem 560
  13. 78 rem 12
  14. 19 rem 26
  15. 393 rem 103
  16. 445 rem 11
  17. 40 rem 99
  18. 33 rem 17
  19. 993 rem 68
  20. 480 rem 51
  21. 642 rem 445
  22. 418 rem 73
  23. 675 rem 54
  24. 1147 rem 7
  25. 1019 rem 83
  26. 619 rem 6
  27. 871 rem 217
  28. 970 rem 4
  29. 387 rem 358
  30. 597 rem 65
  31. 1058 rem 191
  32. 558 rem 72
  33. 710 rem 715
  34. 642 rem 84
  35. 471 rem 483
  36. 238 rem 88
  37. 817 rem 669
  38. 1208 rem 0
  39. 210 rem 51
  40. 480 rem 668

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