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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 788 · 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. 1.959054 ÷ 989 =
  2. 2.612003 ÷ 997 =
  3. 3.302110 ÷ 997 =
  4. 4.22898 ÷ 98 =
  5. 5.104368 ÷ 997 =
  6. 6.191931 ÷ 997 =
  7. 7.23710 ÷ 89 =
  8. 8.420 ÷ 8 =
  9. 9.93668 ÷ 98 =
  10. 10.52657 ÷ 96 =
  11. 11.461220 ÷ 897 =
  12. 12.89609 ÷ 88 =
  13. 13.905916 ÷ 997 =
  14. 14.58144 ÷ 89 =
  15. 15.9814 ÷ 8 =
  16. 16.883528 ÷ 897 =
  17. 17.848756 ÷ 997 =
  18. 18.76624 ÷ 98 =
  19. 19.72037 ÷ 97 =
  20. 20.710530 ÷ 998 =
  21. 21.478999 ÷ 997 =
  22. 22.97700 ÷ 96 =
  23. 23.777288 ÷ 989 =
  24. 24.29205 ÷ 97 =
  25. 25.232520 ÷ 988 =
  26. 26.16852 ÷ 89 =
  27. 27.91371 ÷ 96 =
  28. 28.451285 ÷ 998 =
  29. 29.27837 ÷ 88 =
  30. 30.78419 ÷ 96 =
  31. 31.5043 ÷ 8 =
  32. 32.613890 ÷ 997 =
  33. 33.494918 ÷ 989 =
  34. 34.196757 ÷ 989 =
  35. 35.1987 ÷ 8 =
  36. 36.480317 ÷ 997 =
  37. 37.34630 ÷ 96 =
  38. 38.170306 ÷ 998 =
  39. 39.6989 ÷ 89 =
  40. 40.473872 ÷ 897 =

Answer key

  1. 969 rem 713
  2. 613 rem 842
  3. 303 rem 19
  4. 233 rem 64
  5. 104 rem 680
  6. 192 rem 507
  7. 266 rem 36
  8. 52 rem 4
  9. 955 rem 78
  10. 548 rem 49
  11. 514 rem 162
  12. 1018 rem 25
  13. 908 rem 640
  14. 653 rem 27
  15. 1226 rem 6
  16. 984 rem 880
  17. 851 rem 309
  18. 781 rem 86
  19. 742 rem 63
  20. 711 rem 952
  21. 480 rem 439
  22. 1017 rem 68
  23. 785 rem 923
  24. 301 rem 8
  25. 235 rem 340
  26. 189 rem 31
  27. 951 rem 75
  28. 452 rem 189
  29. 316 rem 29
  30. 816 rem 83
  31. 630 rem 3
  32. 615 rem 735
  33. 500 rem 418
  34. 198 rem 935
  35. 248 rem 3
  36. 481 rem 760
  37. 360 rem 70
  38. 170 rem 646
  39. 78 rem 47
  40. 528 rem 256

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