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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 135 · 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. 1.141593 ÷ 989 =
  2. 2.92033 ÷ 96 =
  3. 3.64026 ÷ 98 =
  4. 4.18824 ÷ 98 =
  5. 5.16545 ÷ 989 =
  6. 6.35676 ÷ 88 =
  7. 7.150731 ÷ 897 =
  8. 8.62090 ÷ 89 =
  9. 9.43578 ÷ 89 =
  10. 10.363358 ÷ 998 =
  11. 11.569413 ÷ 998 =
  12. 12.236 ÷ 8 =
  13. 13.254647 ÷ 988 =
  14. 14.923072 ÷ 998 =
  15. 15.55790 ÷ 97 =
  16. 16.39246 ÷ 89 =
  17. 17.2071 ÷ 88 =
  18. 18.79610 ÷ 98 =
  19. 19.43257 ÷ 989 =
  20. 20.479203 ÷ 897 =
  21. 21.183563 ÷ 989 =
  22. 22.23925 ÷ 88 =
  23. 23.146615 ÷ 897 =
  24. 24.983643 ÷ 988 =
  25. 25.9962 ÷ 98 =
  26. 26.772904 ÷ 897 =
  27. 27.685959 ÷ 998 =
  28. 28.158333 ÷ 988 =
  29. 29.585267 ÷ 897 =
  30. 30.4975 ÷ 89 =
  31. 31.89554 ÷ 97 =
  32. 32.174777 ÷ 988 =
  33. 33.466776 ÷ 988 =
  34. 34.41357 ÷ 989 =
  35. 35.802188 ÷ 989 =
  36. 36.127830 ÷ 997 =
  37. 37.39170 ÷ 96 =
  38. 38.74943 ÷ 88 =
  39. 39.224101 ÷ 988 =
  40. 40.899100 ÷ 997 =

Answer key

  1. 143 rem 166
  2. 958 rem 65
  3. 653 rem 32
  4. 192 rem 8
  5. 16 rem 721
  6. 405 rem 36
  7. 168 rem 35
  8. 697 rem 57
  9. 489 rem 57
  10. 364 rem 86
  11. 570 rem 553
  12. 29 rem 4
  13. 257 rem 731
  14. 924 rem 920
  15. 575 rem 15
  16. 440 rem 86
  17. 23 rem 47
  18. 812 rem 34
  19. 43 rem 730
  20. 534 rem 205
  21. 185 rem 598
  22. 271 rem 77
  23. 163 rem 404
  24. 995 rem 583
  25. 101 rem 64
  26. 861 rem 587
  27. 687 rem 333
  28. 160 rem 253
  29. 652 rem 423
  30. 55 rem 80
  31. 923 rem 23
  32. 176 rem 889
  33. 472 rem 440
  34. 41 rem 808
  35. 811 rem 109
  36. 128 rem 214
  37. 408 rem 2
  38. 851 rem 55
  39. 226 rem 813
  40. 901 rem 803

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