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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 652 · 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. 1.6843 ÷ 8 =
  2. 2.8417 ÷ 88 =
  3. 3.292755 ÷ 989 =
  4. 4.401820 ÷ 998 =
  5. 5.1200 ÷ 8 =
  6. 6.42181 ÷ 89 =
  7. 7.6141 ÷ 8 =
  8. 8.41870 ÷ 989 =
  9. 9.2855 ÷ 98 =
  10. 10.95538 ÷ 97 =
  11. 11.55976 ÷ 97 =
  12. 12.116832 ÷ 998 =
  13. 13.24127 ÷ 989 =
  14. 14.8675 ÷ 8 =
  15. 15.80809 ÷ 96 =
  16. 16.2462 ÷ 8 =
  17. 17.72265 ÷ 97 =
  18. 18.11030 ÷ 96 =
  19. 19.198737 ÷ 998 =
  20. 20.92446 ÷ 98 =
  21. 21.93195 ÷ 96 =
  22. 22.49035 ÷ 97 =
  23. 23.383426 ÷ 998 =
  24. 24.3162 ÷ 97 =
  25. 25.128081 ÷ 989 =
  26. 26.535191 ÷ 989 =
  27. 27.831076 ÷ 997 =
  28. 28.40020 ÷ 98 =
  29. 29.745292 ÷ 989 =
  30. 30.48290 ÷ 97 =
  31. 31.23215 ÷ 97 =
  32. 32.240632 ÷ 897 =
  33. 33.93157 ÷ 88 =
  34. 34.39239 ÷ 96 =
  35. 35.378825 ÷ 988 =
  36. 36.751619 ÷ 897 =
  37. 37.5747 ÷ 8 =
  38. 38.137974 ÷ 997 =
  39. 39.598474 ÷ 988 =
  40. 40.610153 ÷ 897 =

Answer key

  1. 855 rem 3
  2. 95 rem 57
  3. 296 rem 11
  4. 402 rem 624
  5. 150 rem 0
  6. 473 rem 84
  7. 767 rem 5
  8. 42 rem 332
  9. 29 rem 13
  10. 984 rem 90
  11. 577 rem 7
  12. 117 rem 66
  13. 24 rem 391
  14. 1084 rem 3
  15. 841 rem 73
  16. 307 rem 6
  17. 745 rem 0
  18. 114 rem 86
  19. 199 rem 135
  20. 943 rem 32
  21. 970 rem 75
  22. 505 rem 50
  23. 384 rem 194
  24. 32 rem 58
  25. 129 rem 500
  26. 541 rem 142
  27. 833 rem 575
  28. 408 rem 36
  29. 753 rem 575
  30. 497 rem 81
  31. 239 rem 32
  32. 268 rem 236
  33. 1058 rem 53
  34. 408 rem 71
  35. 383 rem 421
  36. 837 rem 830
  37. 718 rem 3
  38. 138 rem 388
  39. 605 rem 734
  40. 680 rem 193

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