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Nikhilam Division Worksheet

Vedic maths trick 18: Nikhilam division (8, 88, 997…) · Set 596 · 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. 1.306482 ÷ 997 =
  2. 2.90797 ÷ 97 =
  3. 3.14418 ÷ 98 =
  4. 4.280428 ÷ 989 =
  5. 5.6204 ÷ 8 =
  6. 6.2122 ÷ 89 =
  7. 7.26593 ÷ 97 =
  8. 8.986125 ÷ 997 =
  9. 9.58015 ÷ 88 =
  10. 10.83751 ÷ 988 =
  11. 11.200022 ÷ 897 =
  12. 12.5463 ÷ 8 =
  13. 13.343883 ÷ 989 =
  14. 14.989704 ÷ 989 =
  15. 15.730088 ÷ 989 =
  16. 16.55988 ÷ 96 =
  17. 17.36939 ÷ 96 =
  18. 18.2572 ÷ 88 =
  19. 19.32399 ÷ 97 =
  20. 20.26617 ÷ 97 =
  21. 21.348802 ÷ 897 =
  22. 22.994254 ÷ 998 =
  23. 23.472361 ÷ 989 =
  24. 24.176233 ÷ 997 =
  25. 25.921777 ÷ 997 =
  26. 26.45518 ÷ 89 =
  27. 27.175578 ÷ 897 =
  28. 28.846881 ÷ 997 =
  29. 29.132138 ÷ 998 =
  30. 30.98893 ÷ 97 =
  31. 31.407694 ÷ 998 =
  32. 32.14954 ÷ 89 =
  33. 33.32356 ÷ 96 =
  34. 34.92006 ÷ 98 =
  35. 35.8836 ÷ 8 =
  36. 36.80960 ÷ 89 =
  37. 37.812140 ÷ 988 =
  38. 38.9289 ÷ 8 =
  39. 39.995016 ÷ 998 =
  40. 40.5846 ÷ 8 =

Answer key

  1. 307 rem 403
  2. 936 rem 5
  3. 147 rem 12
  4. 283 rem 541
  5. 775 rem 4
  6. 23 rem 75
  7. 274 rem 15
  8. 989 rem 92
  9. 659 rem 23
  10. 84 rem 759
  11. 222 rem 888
  12. 682 rem 7
  13. 347 rem 700
  14. 1000 rem 704
  15. 738 rem 206
  16. 583 rem 20
  17. 384 rem 75
  18. 29 rem 20
  19. 334 rem 1
  20. 274 rem 39
  21. 388 rem 766
  22. 996 rem 246
  23. 477 rem 608
  24. 176 rem 761
  25. 924 rem 549
  26. 511 rem 39
  27. 195 rem 663
  28. 849 rem 428
  29. 132 rem 402
  30. 1019 rem 50
  31. 408 rem 510
  32. 168 rem 2
  33. 337 rem 4
  34. 938 rem 82
  35. 1104 rem 4
  36. 909 rem 59
  37. 822 rem 4
  38. 1161 rem 1
  39. 997 rem 10
  40. 730 rem 6

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