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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 364 · 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. 1.5863 ÷ 8 =
  2. 2.21640 ÷ 97 =
  3. 3.80569 ÷ 998 =
  4. 4.597400 ÷ 989 =
  5. 5.30696 ÷ 88 =
  6. 6.175056 ÷ 997 =
  7. 7.51541 ÷ 88 =
  8. 8.52403 ÷ 89 =
  9. 9.432892 ÷ 989 =
  10. 10.645640 ÷ 988 =
  11. 11.316482 ÷ 998 =
  12. 12.64907 ÷ 897 =
  13. 13.70202 ÷ 96 =
  14. 14.9219 ÷ 97 =
  15. 15.92520 ÷ 96 =
  16. 16.78479 ÷ 89 =
  17. 17.2983 ÷ 8 =
  18. 18.881071 ÷ 989 =
  19. 19.72465 ÷ 97 =
  20. 20.420925 ÷ 998 =
  21. 21.734180 ÷ 997 =
  22. 22.50543 ÷ 98 =
  23. 23.37939 ÷ 88 =
  24. 24.809453 ÷ 998 =
  25. 25.68131 ÷ 96 =
  26. 26.820754 ÷ 989 =
  27. 27.22214 ÷ 97 =
  28. 28.93028 ÷ 96 =
  29. 29.688482 ÷ 988 =
  30. 30.39544 ÷ 97 =
  31. 31.879811 ÷ 897 =
  32. 32.703951 ÷ 997 =
  33. 33.67538 ÷ 89 =
  34. 34.15149 ÷ 98 =
  35. 35.868485 ÷ 988 =
  36. 36.837517 ÷ 897 =
  37. 37.427352 ÷ 998 =
  38. 38.20565 ÷ 96 =
  39. 39.2302 ÷ 8 =
  40. 40.49888 ÷ 988 =

Answer key

  1. 732 rem 7
  2. 223 rem 9
  3. 80 rem 729
  4. 604 rem 44
  5. 348 rem 72
  6. 175 rem 581
  7. 585 rem 61
  8. 588 rem 71
  9. 437 rem 699
  10. 653 rem 476
  11. 317 rem 116
  12. 72 rem 323
  13. 731 rem 26
  14. 95 rem 4
  15. 963 rem 72
  16. 881 rem 70
  17. 372 rem 7
  18. 890 rem 861
  19. 747 rem 6
  20. 421 rem 767
  21. 736 rem 388
  22. 515 rem 73
  23. 431 rem 11
  24. 811 rem 75
  25. 709 rem 67
  26. 829 rem 873
  27. 229 rem 1
  28. 969 rem 4
  29. 696 rem 834
  30. 407 rem 65
  31. 980 rem 751
  32. 706 rem 69
  33. 758 rem 76
  34. 154 rem 57
  35. 879 rem 33
  36. 933 rem 616
  37. 428 rem 208
  38. 214 rem 21
  39. 287 rem 6
  40. 50 rem 488

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