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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 829 · 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. 1.1979 ÷ 8 =
  2. 2.308124 ÷ 998 =
  3. 3.92737 ÷ 96 =
  4. 4.7283 ÷ 8 =
  5. 5.295111 ÷ 997 =
  6. 6.24712 ÷ 98 =
  7. 7.71995 ÷ 96 =
  8. 8.9050 ÷ 8 =
  9. 9.508531 ÷ 897 =
  10. 10.519675 ÷ 997 =
  11. 11.712912 ÷ 997 =
  12. 12.711430 ÷ 988 =
  13. 13.32984 ÷ 89 =
  14. 14.827828 ÷ 988 =
  15. 15.354553 ÷ 897 =
  16. 16.7041 ÷ 8 =
  17. 17.100 ÷ 8 =
  18. 18.258590 ÷ 998 =
  19. 19.495464 ÷ 988 =
  20. 20.77151 ÷ 88 =
  21. 21.15213 ÷ 97 =
  22. 22.237162 ÷ 897 =
  23. 23.3871 ÷ 97 =
  24. 24.960189 ÷ 897 =
  25. 25.55359 ÷ 98 =
  26. 26.24248 ÷ 88 =
  27. 27.5003 ÷ 8 =
  28. 28.10205 ÷ 89 =
  29. 29.38960 ÷ 88 =
  30. 30.75821 ÷ 88 =
  31. 31.94640 ÷ 97 =
  32. 32.69961 ÷ 97 =
  33. 33.37251 ÷ 988 =
  34. 34.5793 ÷ 8 =
  35. 35.610252 ÷ 998 =
  36. 36.8343 ÷ 88 =
  37. 37.298291 ÷ 897 =
  38. 38.6694 ÷ 8 =
  39. 39.996200 ÷ 997 =
  40. 40.225092 ÷ 998 =

Answer key

  1. 247 rem 3
  2. 308 rem 740
  3. 966 rem 1
  4. 910 rem 3
  5. 295 rem 996
  6. 252 rem 16
  7. 749 rem 91
  8. 1131 rem 2
  9. 566 rem 829
  10. 521 rem 238
  11. 715 rem 57
  12. 720 rem 70
  13. 370 rem 54
  14. 837 rem 872
  15. 395 rem 238
  16. 880 rem 1
  17. 12 rem 4
  18. 259 rem 108
  19. 501 rem 476
  20. 876 rem 63
  21. 156 rem 81
  22. 264 rem 354
  23. 39 rem 88
  24. 1070 rem 399
  25. 564 rem 87
  26. 275 rem 48
  27. 625 rem 3
  28. 114 rem 59
  29. 442 rem 64
  30. 861 rem 53
  31. 975 rem 65
  32. 721 rem 24
  33. 37 rem 695
  34. 724 rem 1
  35. 611 rem 474
  36. 94 rem 71
  37. 332 rem 487
  38. 836 rem 6
  39. 999 rem 197
  40. 225 rem 542

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