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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 690 · 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. 1.4810 ÷ 96 =
  2. 2.798543 ÷ 997 =
  3. 3.4725 ÷ 97 =
  4. 4.484269 ÷ 998 =
  5. 5.11387 ÷ 97 =
  6. 6.82892 ÷ 98 =
  7. 7.41951 ÷ 88 =
  8. 8.62247 ÷ 98 =
  9. 9.46974 ÷ 98 =
  10. 10.671533 ÷ 997 =
  11. 11.395680 ÷ 989 =
  12. 12.298069 ÷ 989 =
  13. 13.69273 ÷ 96 =
  14. 14.122548 ÷ 988 =
  15. 15.66820 ÷ 998 =
  16. 16.2971 ÷ 8 =
  17. 17.85678 ÷ 89 =
  18. 18.177992 ÷ 897 =
  19. 19.259556 ÷ 989 =
  20. 20.26089 ÷ 96 =
  21. 21.26536 ÷ 96 =
  22. 22.496806 ÷ 897 =
  23. 23.230406 ÷ 997 =
  24. 24.359457 ÷ 998 =
  25. 25.79195 ÷ 96 =
  26. 26.65120 ÷ 97 =
  27. 27.24709 ÷ 98 =
  28. 28.28658 ÷ 98 =
  29. 29.5427 ÷ 8 =
  30. 30.9547 ÷ 8 =
  31. 31.70364 ÷ 89 =
  32. 32.641455 ÷ 897 =
  33. 33.17632 ÷ 89 =
  34. 34.399309 ÷ 988 =
  35. 35.531768 ÷ 998 =
  36. 36.86447 ÷ 88 =
  37. 37.408999 ÷ 988 =
  38. 38.63125 ÷ 97 =
  39. 39.5246 ÷ 8 =
  40. 40.54528 ÷ 88 =

Answer key

  1. 50 rem 10
  2. 800 rem 943
  3. 48 rem 69
  4. 485 rem 239
  5. 117 rem 38
  6. 845 rem 82
  7. 476 rem 63
  8. 635 rem 17
  9. 479 rem 32
  10. 673 rem 552
  11. 400 rem 80
  12. 301 rem 380
  13. 721 rem 57
  14. 124 rem 36
  15. 66 rem 952
  16. 371 rem 3
  17. 962 rem 60
  18. 198 rem 386
  19. 262 rem 438
  20. 271 rem 73
  21. 276 rem 40
  22. 553 rem 765
  23. 231 rem 99
  24. 360 rem 177
  25. 824 rem 91
  26. 671 rem 33
  27. 252 rem 13
  28. 292 rem 42
  29. 678 rem 3
  30. 1193 rem 3
  31. 790 rem 54
  32. 715 rem 100
  33. 198 rem 10
  34. 404 rem 157
  35. 532 rem 832
  36. 982 rem 31
  37. 413 rem 955
  38. 650 rem 75
  39. 655 rem 6
  40. 619 rem 56

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