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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 560 · 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. 1.93754 ÷ 89 =
  2. 2.594678 ÷ 989 =
  3. 3.7757 ÷ 96 =
  4. 4.9647 ÷ 88 =
  5. 5.780273 ÷ 998 =
  6. 6.1285 ÷ 8 =
  7. 7.188945 ÷ 989 =
  8. 8.31627 ÷ 88 =
  9. 9.229119 ÷ 998 =
  10. 10.402567 ÷ 897 =
  11. 11.88385 ÷ 97 =
  12. 12.51214 ÷ 97 =
  13. 13.241744 ÷ 988 =
  14. 14.556505 ÷ 998 =
  15. 15.28801 ÷ 98 =
  16. 16.170665 ÷ 989 =
  17. 17.807279 ÷ 998 =
  18. 18.53384 ÷ 997 =
  19. 19.296684 ÷ 897 =
  20. 20.785837 ÷ 997 =
  21. 21.702857 ÷ 989 =
  22. 22.67613 ÷ 97 =
  23. 23.589788 ÷ 989 =
  24. 24.8525 ÷ 8 =
  25. 25.429497 ÷ 989 =
  26. 26.7426 ÷ 8 =
  27. 27.11871 ÷ 97 =
  28. 28.48381 ÷ 97 =
  29. 29.35685 ÷ 97 =
  30. 30.5381 ÷ 96 =
  31. 31.28787 ÷ 97 =
  32. 32.5537 ÷ 8 =
  33. 33.214931 ÷ 988 =
  34. 34.523859 ÷ 997 =
  35. 35.319929 ÷ 897 =
  36. 36.929429 ÷ 998 =
  37. 37.33737 ÷ 89 =
  38. 38.632337 ÷ 897 =
  39. 39.18114 ÷ 97 =
  40. 40.20777 ÷ 97 =

Answer key

  1. 1053 rem 37
  2. 601 rem 289
  3. 80 rem 77
  4. 109 rem 55
  5. 781 rem 835
  6. 160 rem 5
  7. 191 rem 46
  8. 359 rem 35
  9. 229 rem 577
  10. 448 rem 711
  11. 911 rem 18
  12. 527 rem 95
  13. 244 rem 672
  14. 557 rem 619
  15. 293 rem 87
  16. 172 rem 557
  17. 808 rem 895
  18. 53 rem 543
  19. 330 rem 674
  20. 788 rem 201
  21. 710 rem 667
  22. 697 rem 4
  23. 596 rem 344
  24. 1065 rem 5
  25. 434 rem 271
  26. 928 rem 2
  27. 122 rem 37
  28. 498 rem 75
  29. 367 rem 86
  30. 56 rem 5
  31. 296 rem 75
  32. 692 rem 1
  33. 217 rem 535
  34. 525 rem 434
  35. 356 rem 597
  36. 931 rem 291
  37. 379 rem 6
  38. 704 rem 849
  39. 186 rem 72
  40. 214 rem 19

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