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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 45 · 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. 1.97100 ÷ 96 =
  2. 2.738501 ÷ 998 =
  3. 3.88609 ÷ 89 =
  4. 4.18765 ÷ 989 =
  5. 5.43015 ÷ 989 =
  6. 6.210752 ÷ 897 =
  7. 7.93965 ÷ 98 =
  8. 8.47943 ÷ 97 =
  9. 9.220262 ÷ 988 =
  10. 10.34591 ÷ 98 =
  11. 11.322513 ÷ 989 =
  12. 12.968398 ÷ 897 =
  13. 13.5411 ÷ 8 =
  14. 14.307490 ÷ 897 =
  15. 15.49219 ÷ 989 =
  16. 16.25687 ÷ 897 =
  17. 17.22645 ÷ 97 =
  18. 18.519318 ÷ 998 =
  19. 19.33534 ÷ 98 =
  20. 20.8410 ÷ 89 =
  21. 21.883123 ÷ 998 =
  22. 22.729735 ÷ 998 =
  23. 23.52610 ÷ 89 =
  24. 24.56497 ÷ 89 =
  25. 25.56772 ÷ 96 =
  26. 26.440403 ÷ 988 =
  27. 27.97146 ÷ 96 =
  28. 28.24152 ÷ 97 =
  29. 29.13026 ÷ 96 =
  30. 30.403238 ÷ 988 =
  31. 31.433914 ÷ 998 =
  32. 32.148813 ÷ 997 =
  33. 33.118450 ÷ 989 =
  34. 34.88150 ÷ 89 =
  35. 35.22851 ÷ 988 =
  36. 36.55070 ÷ 97 =
  37. 37.142378 ÷ 989 =
  38. 38.874139 ÷ 989 =
  39. 39.62978 ÷ 98 =
  40. 40.9518 ÷ 8 =

Answer key

  1. 1011 rem 44
  2. 739 rem 979
  3. 995 rem 54
  4. 18 rem 963
  5. 43 rem 488
  6. 234 rem 854
  7. 958 rem 81
  8. 494 rem 25
  9. 222 rem 926
  10. 352 rem 95
  11. 326 rem 99
  12. 1079 rem 535
  13. 676 rem 3
  14. 342 rem 716
  15. 49 rem 758
  16. 28 rem 571
  17. 233 rem 44
  18. 520 rem 358
  19. 342 rem 18
  20. 94 rem 44
  21. 884 rem 891
  22. 731 rem 197
  23. 591 rem 11
  24. 634 rem 71
  25. 591 rem 36
  26. 445 rem 743
  27. 1011 rem 90
  28. 248 rem 96
  29. 135 rem 66
  30. 408 rem 134
  31. 434 rem 782
  32. 149 rem 260
  33. 119 rem 759
  34. 990 rem 40
  35. 23 rem 127
  36. 567 rem 71
  37. 143 rem 951
  38. 883 rem 852
  39. 642 rem 62
  40. 1189 rem 6

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