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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 66 · 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. 1.90487 ÷ 98 =
  2. 2.37815 ÷ 89 =
  3. 3.32002 ÷ 96 =
  4. 4.494839 ÷ 989 =
  5. 5.86779 ÷ 96 =
  6. 6.937568 ÷ 998 =
  7. 7.925706 ÷ 897 =
  8. 8.8273 ÷ 8 =
  9. 9.143343 ÷ 988 =
  10. 10.450299 ÷ 989 =
  11. 11.204861 ÷ 998 =
  12. 12.276260 ÷ 998 =
  13. 13.95536 ÷ 96 =
  14. 14.372720 ÷ 998 =
  15. 15.8181 ÷ 97 =
  16. 16.96630 ÷ 97 =
  17. 17.71339 ÷ 88 =
  18. 18.554782 ÷ 998 =
  19. 19.16479 ÷ 97 =
  20. 20.99481 ÷ 998 =
  21. 21.60350 ÷ 96 =
  22. 22.574901 ÷ 997 =
  23. 23.139688 ÷ 997 =
  24. 24.246887 ÷ 989 =
  25. 25.674707 ÷ 998 =
  26. 26.73364 ÷ 96 =
  27. 27.52486 ÷ 89 =
  28. 28.962111 ÷ 989 =
  29. 29.3306 ÷ 8 =
  30. 30.128167 ÷ 988 =
  31. 31.556655 ÷ 897 =
  32. 32.30110 ÷ 97 =
  33. 33.835517 ÷ 997 =
  34. 34.86953 ÷ 897 =
  35. 35.519208 ÷ 989 =
  36. 36.12892 ÷ 88 =
  37. 37.227759 ÷ 989 =
  38. 38.39815 ÷ 97 =
  39. 39.33106 ÷ 97 =
  40. 40.979425 ÷ 897 =

Answer key

  1. 923 rem 33
  2. 424 rem 79
  3. 333 rem 34
  4. 500 rem 339
  5. 903 rem 91
  6. 939 rem 446
  7. 1032 rem 2
  8. 1034 rem 1
  9. 145 rem 83
  10. 455 rem 304
  11. 205 rem 271
  12. 276 rem 812
  13. 995 rem 16
  14. 373 rem 466
  15. 84 rem 33
  16. 996 rem 18
  17. 810 rem 59
  18. 555 rem 892
  19. 169 rem 86
  20. 99 rem 679
  21. 628 rem 62
  22. 576 rem 629
  23. 140 rem 108
  24. 249 rem 626
  25. 676 rem 59
  26. 764 rem 20
  27. 589 rem 65
  28. 972 rem 803
  29. 413 rem 2
  30. 129 rem 715
  31. 620 rem 515
  32. 310 rem 40
  33. 838 rem 31
  34. 96 rem 841
  35. 524 rem 972
  36. 146 rem 44
  37. 230 rem 289
  38. 410 rem 45
  39. 341 rem 29
  40. 1091 rem 798

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