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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 704 · 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. 1.64875 ÷ 88 =
  2. 2.34742 ÷ 89 =
  3. 3.7129 ÷ 8 =
  4. 4.1392 ÷ 8 =
  5. 5.9555 ÷ 8 =
  6. 6.88829 ÷ 89 =
  7. 7.305476 ÷ 989 =
  8. 8.63235 ÷ 96 =
  9. 9.49620 ÷ 97 =
  10. 10.38032 ÷ 96 =
  11. 11.3580 ÷ 8 =
  12. 12.399856 ÷ 897 =
  13. 13.543345 ÷ 998 =
  14. 14.6328 ÷ 98 =
  15. 15.857886 ÷ 988 =
  16. 16.2789 ÷ 8 =
  17. 17.819488 ÷ 897 =
  18. 18.8614 ÷ 8 =
  19. 19.994208 ÷ 989 =
  20. 20.42586 ÷ 96 =
  21. 21.506226 ÷ 989 =
  22. 22.278869 ÷ 897 =
  23. 23.4641 ÷ 8 =
  24. 24.31022 ÷ 96 =
  25. 25.69508 ÷ 97 =
  26. 26.472647 ÷ 897 =
  27. 27.670841 ÷ 989 =
  28. 28.910935 ÷ 988 =
  29. 29.586886 ÷ 997 =
  30. 30.725510 ÷ 998 =
  31. 31.407502 ÷ 989 =
  32. 32.60074 ÷ 988 =
  33. 33.183992 ÷ 998 =
  34. 34.95073 ÷ 88 =
  35. 35.94709 ÷ 88 =
  36. 36.85249 ÷ 96 =
  37. 37.56245 ÷ 97 =
  38. 38.43886 ÷ 96 =
  39. 39.44809 ÷ 98 =
  40. 40.27242 ÷ 96 =

Answer key

  1. 737 rem 19
  2. 390 rem 32
  3. 891 rem 1
  4. 174 rem 0
  5. 1194 rem 3
  6. 998 rem 7
  7. 308 rem 864
  8. 658 rem 67
  9. 511 rem 53
  10. 396 rem 16
  11. 447 rem 4
  12. 445 rem 691
  13. 544 rem 433
  14. 64 rem 56
  15. 868 rem 302
  16. 348 rem 5
  17. 913 rem 527
  18. 1076 rem 6
  19. 1005 rem 263
  20. 443 rem 58
  21. 511 rem 847
  22. 310 rem 799
  23. 580 rem 1
  24. 323 rem 14
  25. 716 rem 56
  26. 526 rem 825
  27. 678 rem 299
  28. 921 rem 987
  29. 588 rem 650
  30. 726 rem 962
  31. 412 rem 34
  32. 60 rem 794
  33. 184 rem 360
  34. 1080 rem 33
  35. 1076 rem 21
  36. 888 rem 1
  37. 579 rem 82
  38. 457 rem 14
  39. 457 rem 23
  40. 283 rem 74

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