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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 625 · 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. 1.34003 ÷ 96 =
  2. 2.177031 ÷ 988 =
  3. 3.4615 ÷ 8 =
  4. 4.50769 ÷ 97 =
  5. 5.81572 ÷ 97 =
  6. 6.811177 ÷ 997 =
  7. 7.70659 ÷ 97 =
  8. 8.51152 ÷ 89 =
  9. 9.1090 ÷ 88 =
  10. 10.65397 ÷ 98 =
  11. 11.958349 ÷ 998 =
  12. 12.350243 ÷ 897 =
  13. 13.830372 ÷ 998 =
  14. 14.1894 ÷ 88 =
  15. 15.47224 ÷ 88 =
  16. 16.237303 ÷ 997 =
  17. 17.44443 ÷ 97 =
  18. 18.2543 ÷ 8 =
  19. 19.282036 ÷ 989 =
  20. 20.553677 ÷ 897 =
  21. 21.49809 ÷ 989 =
  22. 22.89333 ÷ 89 =
  23. 23.58072 ÷ 97 =
  24. 24.938498 ÷ 897 =
  25. 25.8461 ÷ 89 =
  26. 26.96944 ÷ 998 =
  27. 27.79308 ÷ 97 =
  28. 28.908331 ÷ 989 =
  29. 29.937694 ÷ 989 =
  30. 30.40408 ÷ 97 =
  31. 31.868236 ÷ 988 =
  32. 32.17522 ÷ 97 =
  33. 33.3562 ÷ 8 =
  34. 34.17145 ÷ 98 =
  35. 35.595895 ÷ 988 =
  36. 36.730181 ÷ 897 =
  37. 37.80258 ÷ 96 =
  38. 38.472702 ÷ 988 =
  39. 39.1444 ÷ 8 =
  40. 40.7201 ÷ 96 =

Answer key

  1. 354 rem 19
  2. 179 rem 179
  3. 576 rem 7
  4. 523 rem 38
  5. 840 rem 92
  6. 813 rem 616
  7. 728 rem 43
  8. 574 rem 66
  9. 12 rem 34
  10. 667 rem 31
  11. 960 rem 269
  12. 390 rem 413
  13. 832 rem 36
  14. 21 rem 46
  15. 536 rem 56
  16. 238 rem 17
  17. 458 rem 17
  18. 317 rem 7
  19. 285 rem 171
  20. 617 rem 228
  21. 50 rem 359
  22. 1003 rem 66
  23. 598 rem 66
  24. 1046 rem 236
  25. 95 rem 6
  26. 97 rem 138
  27. 817 rem 59
  28. 918 rem 429
  29. 948 rem 122
  30. 416 rem 56
  31. 878 rem 772
  32. 180 rem 62
  33. 445 rem 2
  34. 174 rem 93
  35. 603 rem 131
  36. 814 rem 23
  37. 836 rem 2
  38. 478 rem 438
  39. 180 rem 4
  40. 75 rem 1

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